Roger W. Barnard’s Vita

Education

• Ph.D. University of Maryland, August 1971 (Advisor William Kirwan)
• M.A. Kent State University, June 1968
• B.S. Kent State University, June 1965

Specialization

Primary: Complex Analysis (Geometric Function Theory)

Secondary: Special Functions of Mathematical Physics

Professional Experience

• Visited and collaborated with my former PhD student, Kendall Richards, one week each summer since 1994 (except 3 summers), usually at his university, Southwestern University, otherwise here at TTU, so far producing 8 joint publications. We currently are working on another paper along with Alex Solynin.
• Visited and collaborated with my former PhD student, G. Lenny Ornas, one week each summer since 2004, usually here at TTU, otherwise at McNeese University. Clint Richardson, another former PhD student, joined us the summer of 2015 at McNeese University.
• Collaborated with three of M. Dorff’s Postdocs while visiting BYU March 2015 and April 2016, submitting one paper.
• Invited Scholar, Mittag-Leffler Institute, Stockholm, Sweden, Fall 2011.
• Visiting Professor, University of South Florida, November-December 2007 (four weeks).
• Visiting Scholar, University of Tennessee, November 2007 (two weeks).
• Visiting Scholar, University of Cincinnati, October 2007 (three weeks).
• Visiting Scholar, University of Michigan, September 2007 (four weeks).
• Giovanni-Prodi Chair Holder, University of Würzburg, Germany, May 2006 - August 2006.
• Member, Rocky Mountain Consortium Board since 1998, serving as Secretary 1998, Vice President 1999, President 2000 and 2001.
• Director of Graduate Studies, Mathematics, July 1991 - May 1993.
• Visiting Scholar, Universität Würzburg, Würzburg, Germany, May 1993 - August 1993.
• Visiting Scholar, University of California, San Diego, January 1987 - June 1987 and January 1988 - June 1988.
• Professor, Texas Tech University, September 1986 - present.
• Visiting Research Professor, Indiana University, Spring 1985.
• Associate Professor, Texas Tech University, September 1979 - August 1986.
• Visiting Associate Professor, University of Kentucky, September 1977 - June 1978, Summer 1980, and Fall 1984.
• Assistant Professor, Texas Tech University, September 1975 - August 1979.
• Lecturer, Texas Tech University, July 1973 - August 1975.
• Postdoctorate (NSF), University of Kentucky, August 1971 - June 1973.

Submitted Publications

Publications

1. “Dynamics of the Newton maps of rational functions,” J. Anal. 29 (2021) no. 3, 1055-1070 (with J. Dwyer, E. Williams, and G. B. Williams).
2. “Addendum to ‘A direct proof of Brannan’s conjecture for α = 1’ [J. Math. Anal. Appl. 493 (2) (2021) 124534],” J. Math. Anal. Appl. 494 (2021) no. 2, Paper No. 124666, 1 pp. (with K. C. Richards).
3. “A direct proof of Brannan’s conjecture for α = 1,” J. Math. Anal. Appl. 493 (2021) no. 2, Paper No. 124534, 12 pp. (with K. C. Richards).
4. “Fixed points, symmetries, and bounds for basins of attraction of complex trigonometric functions,” Int. J. Math. Math. Sci. Art. ID 1853467 (2020), 10 pp. (with K. Bray, J. Dwyer, and G. B. Williams).
5. “On sharp bounds for ratios of k-balanced hypergeometric functions,” Proc. Amer. Math. Soc. 148 (2020) no. 2, 777-786 (with K. C. Richards and E. N. Sliheet).
6. “Stephan Ruscheweyh 1944–2019,” Comput. Methods Funct. Theory 19 (2019) no. 4, 541-544 (with W. Bergweiler and I. Laine).
7. “Conjugacies of the Newton maps of rational functions,” Complex Var. Elliptic Equ. 64 (2019) no. 10, 1666-1685 (with J. Dwyer, E. Williams, and G. B. Williams).
8. “When is tail mean estimation more efficient than tail median? Answers and implications for quantitative risk management,” Ann. Oper. Res. 262 (2018) no. 1, 47–65 (with K. Pearce, A. A. Trindade, and A. Yu. Solynin).
9. “A note on Bohr’s phenomenon for power series,” J. Math. Anal. Appl. 449 (2017) no. 1, 154–167 (with R. M. Ali and A. Yu. Solynin).
10. “Brannan’s Conjecture and Trignometric Sums,” Proc. Amer. Math. Soc. 143 (2015) no. 5, 2117-2128 (with U. C. Jayatilake and A. Yu. Solynin).
11. “Autoregressive moving average models with exponential power distributions,” Prob. Stat. Forum 7 (2014), 65-77 (with A. A. Trindade and R. I. Wickramasinghe).
12. “Convex icebergs and sectorial starlike functions,” Computational Methods in Function Theory 13 no. 4 (2013), 635-682 (with M. H. Lochman and A. Yu. Solynin).
13. “Banks Criterion and symmetric stable laws with index of stability between one-half and one,” Mathematical Methods in Statistics 21 no. 4 (2012), 251-282 (with P. Hadjicostas).
14. “Iceberg-type problems: Estimating hidden parts of a continuum from the visible parts,” Mathematische Nachrichten 285 no. 17-18 (2012), 2042-2058 (with K. Pearce and A. Yu. Solynin).
15. “Applications of special functions to disparate fields,” Journal of Analyses 18 (2011), 19-23.
16. “Circle packing complex earthquakes,” Ann. Acad. Sci. Fenn. Math. 36 (2011) no. 2, 423–447 (with E. M. Murphy and G. B. Williams).
17. “Hyperbolically convex functions and the generalized Fekete-Szegő functional,” J. Math. Anal. Appl. 384 (2011) no. 2, 366–374 (with D. Martin and G. B. Williams).
18. “On a conjecture of Fournier, Ma, and Ruscheweyh for bounded convex functions,” J. Anal. 18 (2010), 25–51 (with C. Hume and G. B. Williams).
19. “On applications of special functions to disparate fields,” J. Anal. 18 (2010), 9–23.
20. “An improved asymptotic approximation for the first moment of order statistics from a generalized exponential distribution,” Far East J. Theor. Stat. 33 (2010) no. 1, 1–11 (with A. A. Trindade).
21. “A survey of some bounds for Gauss’ hypergeometric function and related bivariate means,” J. Math. Inequal. 4 (2010) no. 1, 45–52 (with K. C. Richards and H. Tiedeman).
22. “Euclidean earthquakes,” Complex Variables and Elliptic Equations 54 no. 7 (2009), 639-642 (with E. M. Murphy and G. B. Williams).
23. “A proof of Campbell’s subordination conjecture,” Complex Variables and Elliptic Equations 54 no. 2 (2009), 103-117 (with K. Pearce).
24. “Iteration of complex functions and Newton’s method,” Australian Senior Mathematics Journal 23 no. 1 (2009), 9-16 (with D. Cook, J. Corte, and J. Dwyer).
25. “A note on Turan-type and mean inequalities for the Kummer function,” Journal of Math Analysis and Applications 349 (2009), 259-263 (with K. C. Richards).
26. “On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean,” Journal of Inequalities in Pure and Applied Math 8 no. 3 (2008), Article 65 (with K. Richards).
27. Geometric Function Theory, Special Functions and Applications, Editor. Special volume of Journal of Analysis 15 (2007), Chennai, India (with co-editor S. Ponnusamy).
28. “Preservation of local dynamics when applying central difference methods; Application to SIR model,” Journal of Difference Equations and Applications 13 no. 4 (2007), 333-340 (with L. Roeger).
29. “A note on a minimal area problem for non-vanishing functions,” Quasiconformal Mappings and their Applications (2007), 1-9 (with C. Richardson and A. Yu. Solynin).
30. “Some results on spaces of packable Riemann surfaces,” Geometric Function Theory, Special Functions and Applications (2007), 1-16 (with E. Murphy and G. B. Williams).
31. “The Verification of an Inequality,” Geometric Function Theory, Special Functions and Applications (2007), 17-42 (with K. Pearce).
32. “A sharp bound on the Schwarzian derivative of hyperbolically convex functions,” Proc. London Math. Soc. 93 (2006), 395-417 (with L. Cole, K. Pearce, and G. B. Williams).
33. “A minimum area problem for non-vanishing functions,” Algebra i Analiz 18 (2006) no. 1, 21-36 (with C. Richardson and A. Yu. Solynin).
34. “A variational method for hyperbolically convex functions,” (with G. L. Ornas and K. Pearce) Complex Variables, Theory and Application (accepted).
35. “The Poincaré metrics and isoperimetric inequalities for hyperbolic functions,” (with P. Hadjicostas and A. Yu. Solynin) Trans. AMS 357 no. 10 (2005), 3905-3932.
36. “Concentration of area in half-planes,” (with C. Richardson and A. Yu. Solynin) Proc. AMS 133 no. 7 (2005), 2091-2099.
37. “Univalency of weighted integral transforms of certain functions,” (with S. Naik and S. Ponnusamy) Analysis (Munich) 24 (2004) no. 1, 71-94.
38. “Local variations and minimal area problems,” (with A. Yu. Solynin) Indiana J. of Math. 53 (2004), 135-167.
39. “Two parameter family of close-to-convex functions and convolution theorems,” (with S. Naik, M. Obradovic, and S. Ponnusamy) Analysis (Munich) 24 (2004), 71-94.
40. “Three Extremal Problems for Hyperbolically Convex Functions,” (with K. Pearce and G. B. Williams) Computational Methods and Function Theory 4 (2004), 97-109.
41. “Area, width, and logarithmic capacity of convex sets,” (with K. Pearce and A. Yu. Solynin) Pac. J. Math. 212 no. 1 (2003), 13-24.
42. “Minimal harmonic measure on complementary regions,” (with Leah Cole and A. Yu. Solynin) Computational Methods and Function Theory 2 no. 1 (2002), 229-248.
43. “An isoperimetric inequality for logarithmic capacity,” (with K. Pearce and A. Yu. Solynin) Ann. Acad. Sci. Fenn. Math. 27 (2002), 419-436.
44. “Combinatorial excursions in moduli space,” (with G. B. Williams) Pacific J. Math. 205 no. 1 (2002), 3-30.
45. “A note on the hypergeometric mean value,” (with K. Richards) Computational Methods and Function Theory 1 no. 1 (2001), 81-88.
46. “Polynomial controller for linear systems,” (with W. Dayawansa and C. Martin) Math and Computer Modeling 33 (2001), 79-87.
47. “Zeros of Cesaro sum approximations,” (with K. Pearce and W. Wheeler) Complex Variables and Appl. 45 (2001), 327-348.
48. “Inequalities for the perimeter of an ellipse,” (with K. Pearce and L. Schovanec) J. of Math. Analysis and Appl. 260 (2001), 693-699.
49. “A survey of applications of the Julia variation,” (with C. Campbell and K. Pearce) Annales Univ. Maria-Curie-Sklodowska LIV, 1, Sec. A (2000), 1-20.
50. “A monotonicity property involving 3F2 and comparisons of the classical approximations of elliptical arc length,” (with K. Pearce and K. Richards) SIAM J. Math. Analysis 32 no. 2 (2000), 403-419.
51. “An inequality for generalized hypergeometric functions and arc length of an ellipse,” (with K. Pearce and K. Richards) SIAM J. Math. Analysis 31 no. 3 (2000), 693-699.
52. “On Applications of Hypergeometric Functions,” J. of Computational and Applied Math. 105 (1999), 1-8.
53. “Cesaro sum approximations of outer functions,” (with J. Cima and K. Pearce) Annals M. Curie Sklodowska Univ. Ser. A, 52, 1 (1998), 1-7.
54. “Gram polynomials and the Kummer function,” (with G. Dahlquist, K. Pearce, L. Reichel, and K. C. Richards) J. Approx. Thy. 94 (1998), 128-143.
55. “On a coefficient conjecture of Brannan,” (with K. Pearce and W. Wheeler) Complex Variables, Theory and Application 33 (1997), 51-61.
56. “An application of the Schur-Cohn algorithm to time series analysis,” (with K. Chanda) J. Time Series Analysis 16 no. 5 (1995), 445-449.
57. “Inequalities for zero-balanced hypergeometric functions,” (with G. D. Anderson, K. Richards, M. Vamanamurthy, and M. Vuorinen) Trans. Amer. Math. Soc. 347 no. 5 (1995), 1713-1723.
58. “An inverse distortion theorem for univalent functions in the unit disc,” (with St. Ruscheweyh) Annals M. Curie Sklodowska Univ. Sec. A 48 (1994), 6-11.
59. “A short proof of a conjecture on the integral means of the derivative of a convex function,” (with K. Pearce) Annals M. Curie Sklodowska Univ. Sec. A 48 (1994), 1-5.
60. “A distortion theorem for biholomorphic mappings in C2,” (with C. FitzGerald and S. Gong) Transactions, American Math. Soc. 344 (1994), 907-924.
61. “An application from partial sums of e^z to a problem in several complex variables,” (with K. Pearce and R. Varga) J. Computational and Applied Math. 46 (1993), 271-279.
62. “Sharp bounds on the H_p means of the derivative of convex functions for p = -1,” (with K. Pearce) Complex Variables, Theory and Application 21 (1993), 149-158.
63. “The growth and 1/4 theorems for starlike mappings in Cⁿ,” (with C. FitzGerald and S. Gong) Pacific J. Math. 150 no. 1 (1991), 13-22. (Summary had appeared in Chinese Sci. Bull. 35 no. 5 (1991), 357-359.)
64. “Polynomials with non-negative coefficients,” (with W. Dayawansa, K. Pearce, and D. Weinberg) Proc. Amer. Math. Soc. 113 no. 1 (1991), 77-86.
65. “On Möbius transformations of starlike mappings,” (with G. Schober) Complex Variables, Theory and Application 15 (1990), 211-221.
66. “Open problems and conjectures in complex analysis,” Computational Methods and Function Theory, Lecture Notes in Math. #1435 (1990), 1-25.
67. “Weighted inverse Hölder inequalities,” (with J. Wells) Jnl. Math. Analysis and Applications 147 no. 1 (1990), 198-213.
68. “On the omitted area problem,” (with J. L. Lewis) Mich. Math. Jnl. 34 (1987), 13-22.
69. “Math technology for generating mirror panel layouts for an icosahedral solar bowl,” (refereed) Proc. Solar Energy Conference, Anaheim, CA, March 1986 (with R. Anderson and W. T. Ford), pp. 1-239.
70. “Möbius transformations for convex mappings II,” (with G. Schober) Complex Variables Theory and Applications 7 (1986), 205-214.
71. “On the zeros of interpolating polynomials,” (with W. T. Ford and H. Wang) SIAM Jnl. Math. Anal. 17 no. 3 (1986), 734-744.
72. “Rounding corners of gearlike domains and the omitted area problem,” (with K. Pearce) SIAM Jnl. Computational and Applied Math. 14 (1986), 217-226. Also appeared in Numerical Conformal Mapping, North Holland, 1986.
73. “The Omitted Area Problem for Univalent Functions,” Contemporary Math Series 38 (1985), 53-60.
74. “Möbius transformations for convex mappings,” (with G. Schober) Complex Variables Theory and Applications 3 (1984), 45-54.
75. “On Campbell’s conjecture on the radius of majorization of functions subordinate to convex functions,” (with C. N. Kellogg) Rocky Mtn. Jnl. 14 (1984), 331-339.
76. “On the simultaneous univalence of f and f ′,” (with T. Suffridge) Mich. Math. Jnl. 30 (1983), 9-16.
77. “On the local variation of analytic slits,” Annals M. Curie Sklodowska Univ. (Commemorative issue), XXXVI-II (1982-1983), 19-24.
78. “Applications of convolution operators to problems in univalent function theory,” (with C. N. Kellogg) Mich. Math. Jnl. 27 (1980), 81-94.
79. “On Robinson’s 1/2 conjecture,” Proc. AMS 72 no. 1 (1978), 135-139.
80. “On a generalization of Study’s theorems for convex functions,” Proc. AMS 72 no. 1 (1978), 127-134.
81. “On bounded univalent functions whose ranges contain a fixed disk,” Trans. AMS 225 (1977), 123-144.
82. “On quasi-starlike functions,” Ann. Pol. Math. XXXII (1976), 303-308.
83. “On the radius of starlikeness of (zf)′ for f univalent,” Proc. AMS 53 no. 2 (1975), 385-390.
84. “A variational technique for bounded starlike functions,” Can. Journal Math. XXVII no. 2 (1975), 337-347.
85. “On a coefficient inequality for starlike functions,” Proc. AMS 47 no. 2 (1975), 429-430.
86. “Coefficient bounds for some classes of starlike functions,” (with J. L. Lewis) Pacific Journal Math. 56 no. 2 (1975), 325-331.
87. “Subordination theorems for some classes of starlike functions,” (with J. L. Lewis) Pacific Journal Math. 56 no. 2 (1975), 333-366.
88. “A counterexample to the two-thirds conjecture,” (with J. L. Lewis) Proceedings American Math. Soc. 41 no. 2 (1973), 525-529.

Books (Texts) Where Work Has Been Discussed

• Numerical Methods in Scientific Computing (2008).
• Handbook of Complex Analysis, Geometric Function Theory, Vol. 2 (2004).
• Analytic Theory of Polynomials, Q. I. Rahman and G. Schmeisser (2002), Oxford Science Publications. (3 references).
• Univalent Mappings of Several Complex Variables, G. Kohr and P. Liczberski (1998), Cluj University Press. (3 references).
• Conformal Invariants, Inequalities, and Quasiconformal Maps, Anderson, Vamanamurthy, and Vuorinen (1997), J. Wiley. (5 references).
• Polynomials and Polynomial Inequalities, Borwein, P. and Erdelyi, T. Graduate Texts in Math. #161 (1995), Springer. (2 references).
• Computational Methods and Function Theory, eds. Ruscheweyh, et al., Lecture Notes in Math. #1435 (1990), Springer. (3 references).
• The Bieberbach Conjecture Proceedings of the Symposium on the Occasion of the Proof, eds. Baernstein, A., et al., AMS Math Surveys, Monographs, No. 2 (1986). (2 references).
• Univalent Functions, Vol. II, A. W. Goodman (1983), Mariner. (4 references). (Chapter 15 based on paper number [11] in bibliography).
• Univalent Functions, Vol. I, A. W. Goodman (1983), Mariner. (2 references).
• Convolutions in Geometric Function Theory, Ruscheweyh, S. #83 (1982), Les Presses de l’Université de Montréal. (2 references).
• Bibliography of Schlicht Functions, Bernardi, S. D. (1982), Mariner. (15 references).
• Aspects of Contemporary Complex Analysis, eds. Brannan, D. and Clunie, J. (1980), Academic Press. (8 references).
• Complex Analysis Kentucky 1976, eds. Dold, A. and Eckmann, Lecture Notes in Math. #599 (1977), Springer. (1 reference).
• Univalent Functions Selected Topics, Schober, G., Lecture Notes in Math. #478 (1975), Springer. (2 references).

Honors Awarded

• President’s Academic Achievement Award for Outstanding Research, Teaching and Service, Spring 2014.
• Mittag-Leffler Institute Invitee, Fall 2011.
• Recipient of Giovanni-Prodi Chair under the auspices of the German DAAD, Summer 2006, University of Würzburg, Germany.
• College of Arts and Sciences, Texas Tech University, “Outstanding Researcher Award,” 2005.
• KMU Professor of the Year, 2004.
• University Professing Excellence Award for Teaching, 2002.
• SIAM Graduate Professor of the Year, 2001.

Contracts and Grants Awarded

• Awarded NSF Grant, “South Plains Mathematics Scholars” (2007-2012).
• Awarded REU Grant, “Multidisciplinary Summer Undergraduate Research Program in Computation and Control of Biological and Biologically Inspired Systems,” Department of Defense and National Science Foundation, (Senior Personnel), $20,000 for Summer 2006-2007.
• Awarded NSF Grant for $47,500 to support an international workshop and conference on Quasiconformal Mappings, India, Dec. 27, 2005 - Jan. 7, 2006 (with G. B. Williams, co-Principal Investigator).
• Awarded Summer Dissertation/Thesis Award for $2,000 for my PhD student, C. Hume, for summer 2005.
• Awarded Summer Dissertation/Thesis Award for $2,000 for my PhD student, L. Ornas, for summer 2002.
• Awarded Summer Dissertation/Thesis Award for $2,000 for my PhD student, C. Richardson, for summer 2001.
• Awarded Summer Dissertation/Thesis Award for $2,000 for my PhD student, L. Butler Cole, for summer 2001.
• Awarded Summer Dissertation/Thesis Award for $2,000 for my Master’s student, L. Butler, for summer 1998.
• Awarded Digital Equipment Corporation grant for computer equipment (with Principal Investigator Clyde F. Martin et al.) $160,000 for 1996-1997.
• Awarded NSF Equipment Grant, “Mathematical Sciences Computational Research Environment” (with Principal Investigator Clyde F. Martin et al.) $77,706 for 1996-1997.
• Awarded Summer Research Assistantship for $2,000 for my Ph.D. student, W. Wheeler, for summer 1997.
• Awarded Summer Research Assistantship for $1,000 for my Ph.D. student, W. Wheeler, for summer 1996.
• Awarded Summer Research Assistantship for $1,000 for my Ph.D. student, W. Wheeler, for summer 1995.
• Awarded a German Research Foundation Grant for 26,920 DM ($15,000) to spend summer 1993 at Mathematisches Institut, Würzburg, Germany.
• Awarded a 2-year Texas Advanced Research Proposal grant titled “Problems in geometric function theory” for $37,271, 1991-94.
• Served as a research associate on R. A. Anderson and W. T. Ford’s Center for Energy Research grant from the Department of Energy, receiving summer salaries of: $3,166 (1983); $5,023 (1984); $8,300 (1985); $11,467 (1986).
• Awarded a 2-year NSF research grant from 1979-1981 for $16,046.

Invited Colloquia and Hourly Talks

1. Brigham Young University, April 2016.
2. University of Tennessee, March 2016.
3. Brigham Young University, March 2015.
4. Baylor University, February 2014.
5. University of Finland-Helsinki, August 2013 (unable to attend).
6. Institut Mittag-Leffler, August 2012.
7. Walchand College of Engineering, Sangli, India, March 2012 (unable to attend).
8. Plenary Lectures (2), Workshop, Chennai, India, 2010 (chaired 2 sessions).
9. San Diego State University, February 2008.
10. University of South Florida, December 2007.
11. University of Tennessee, November 2007.
12. University of Cincinnati, October 2007 (two talks).
13. University of Michigan, September 2007 (three talks).
14. University of Illinois, October 2006.
15. University of Würzburg, Summer 2006 (series of five talks on different topics).
16. City University of New York, May 2005.
17. Virginia Polytechnic Institute and State University, February 2005.
18. College of William and Mary, February 2005.
19. University of Arkansas, February 2005.
20. University of Cincinnati, April 2004.
21. University of Tennessee, January 2002.
22. Southwestern University, Georgetown, May 2000.
23. San Diego State University, November 1999.
24. Arizona State University, November 1999.
25. University of Hawaii, June 1999.
26. Southwestern University, Georgetown, May 1998.
27. Southwestern University, Georgetown, June 1997.
28. Kent State University, February 1997.
29. Southwestern University, Georgetown, June 1996.
30. Penang University, Malaysia, April 1996.
31. Southwestern University, Georgetown, June 1995.
32. Florida State University, April 1995.
33. University of Florida, April 1995.
34. Stephen F. Austin University, February 1995.
35. Southwestern University, Georgetown, November 1994.
36. Katholieke Universiteit Nijmegen, Netherlands, July 1993.
37. Wichita State University, November 1992.
38. University of Kentucky, May 1992.
39. University of Cincinnati, March 1992.
40. University of Delaware, March 1992.
41. B. Baruch College, March 1992.
42. Kent State University, October 1991.
43. Indiana University, October 1990.
44. Washington University at St. Louis, October 1990.
45. University of Wisconsin, October 1990.
46. Syracuse University, October 1990.
47. University of Madras, India, July 1990.
48. University of Delaware, May 1990.
49. Kent State University, September 1989.
50. Indiana University, June 1989.
51. Purdue University, June 1989.
52. University of Valparaiso, Chile, March 1989.
53. University of California at San Diego, April 1988.
54. University of California at San Diego, May 1987.
55. University of Michigan, November 1986.
56. Kent State University, August 1986.
57. Bowling Green University, May 1986.
58. SUNY at Albany, May 1985.
59. Indiana University, April 1985.
60. University of Delaware, April 1985.
61. University of Maryland, April 1985.
62. University of West Virginia, April 1985.
63. University of Montreal, Canada, April 1985.
64. University of Laval, Quebec, Canada, April 1985.
65. University of Cincinnati, April 1985.
66. Miami University, March 1985.
67. University of Kentucky, December 1984.
68. University of Kentucky, October 1984.
69. Kent State University, October 1983.
70. Mariae Curie Institute, Lublin, Poland, August 1983.
71. University of Maryland, August 1983.
72. University of Cincinnati, April 1982.
73. University of Delaware, April 1982.
74. Brigham Young University, July 1978.
75. University of Cincinnati, May 1978.
76. University of West Virginia, May 1978.
77. University of Maryland, March 1978.
78. University of Delaware, March 1978.
79. University of Kentucky, September 1977.
80. University of Michigan, January 1977.
81. University of Texas, April 1976.

Talks at Annual AMS Meetings

Talks were given at American Mathematical Society annual meetings every year from 1972 to 2013 except 1985, 1988, 1992, 1993, and 2003.

Conferences Organized

1. Organizer: Special Session on “Complex Function Theory and Special Functions” at AMS Regional Meeting, Lubbock, Texas, April 2014.
2. Organizer: Special Session on “Contemporary Complex and Special Function Theory” at AMS Regional Meeting, Waco, Texas, October 2009.
3. Organizer, Advisory Committee, Plenary Speaker: “International Conference on Geometric Function Theory, Special Functions and Applications,” Pondicherry, India, January 2006.
4. Organizer, Advisory Committee, Plenary Speaker: “International Workshop on Quasiconformal Mapping,” Chennai, India, December 2005.
5. Organizer: AMS Special Session on “Recent Developments in Geometric Function Theory,” Lubbock, Texas, April 2005.

Invited Conferences and Special Sessions

(More than half of these as invited 1 hour speaker, including 35 conferences outside the U.S.)

1. Special Session on “Special Functions, Combinatorics and Analyse,” AMS Meeting, University of Arizona, October 2012.
2. “International Workshop on Complex Analysis and Integrable Systems,” Mittag-Leffler Institute, Stockholm, Sweden, August 2012.
3. Special Session on “Applications of Special Functions in Mathematical Physics,” University of South Florida, March 2012.
4. “Computational Methods and Function Theory” at Bilkent University, Ankara, Turkey, June 2009. (Chaired a session.)
5. Special Session on “Special Functions and Orthogonal Polynomials” at AMS-PIMS Meeting, Vancouver, B.C., October 2008.
6. Conference on “One and Several Complex Variables” at University of Kentucky, May 2008.
7. B. Twomey’s Retirement Conference, “Complex Function Theory,” at University College Cork, Ireland, April 2008. (Chaired a session.)
8. Participation in Classical Analysis Conference at University of North Carolina, September 2007. (Chaired a session.)
9. Special Session on “Complex Analysis” at the CMS-MITACS Joint Conference, Winnipeg, Manitoba, June 2007. (Chaired a session.)
10. “Tag der Funktionentheorie” at RWTH Aachen, Germany, June 2006.
11. “International Conference on Complex and Harmonic Analysis” at Aristotle University of Thessaloniki, Greece, May 2006. (Chaired a session.)
12. Special Session on “Special Functions and Polynomials” at Regional AMS Meeting at University of Notre Dame, April 2006.
13. Plenary talk at “Recent Advances in Operator Related Function Theory,” honoring Peter Duren’s 70^th birthday, Madrid, Spain, October 2005. (Chaired a session.)
14. “Computational Methods and Function Theory V,” Joensuu, Finland, June 2005. (Chaired a session.)
15. Plenary talk at “Analysis Conference on the Interplay of Complex Variables, Probability and Partial Differential Equations,” honoring Al Baernstein’s 65^th birthday, Washington University, St. Louis, Missouri, May 2005.
16. Mathematisches Forschungsinstitut, Funktionentheorie, Oberwolfach, Germany, February 2004.
17. “Prairie Analysis Seminar” at Kansas State University, Manhattan, Kansas, October 2003. (Chaired a session.)
18. Special Session on “Constructive Approximation Theory,” Seville, Spain, June 2003.
19. “Nevanlinna Colloquium” and “Workshop on Metric Spaces,” Jyväskylä, Finland, June 2003. (Chaired a session.)
20. Seminar at Steklov Institute of Mathematics, St. Petersburg, Russia, June 2003.
21. International conference on “Quadrature Domains and Applications” honoring H. Shapiro’s 75th birthday at University of California at Santa Barbara, Santa Barbara, California, March 2003.
22. International conference on “Geometric Function Theory” honoring H. Grötzsch at Martin Luther University in Halle-Wittenberg, Germany, May 2002.
23. Special Session on “Topics in Geometric Function Theory” at Regional AMS meeting at University of Michigan, March 2002. (Chaired a session.)
24. Special Session on “Geometric Function Theory” at Regional AMS meeting in Chattanooga, Tennessee, October 2001. (Chaired a session.)
25. “Computational Methods and Function Theory ’01,” international conference at Aveiro, Portugal, June 2001.
26. Special Session on “Complex Variables” at Regional AMS meeting in University of Kansas, March 2001.
27. “Workshop on Planar Harmonic Mappings” at the Technion, Haifa, Israel, January 2000.
28. “Mathematical Journey Through Analysis, Matrix Theory and Scientific Computing,” international conference honoring R. Varga’s 70th birthday at Kent State University, June 1999. (Chaired a session.)
29. “International Conference on Analytic Functions” honoring J. Krzyz’s 75th birthday in Lublin, Poland, September 1998. (Gave plenary lecture and special lecture honoring Krzyz and chaired a session.)
30. Computation and Control VI conference, Montana State University, August 1998. (Chaired a session.)
31. NSF Summer Research Conference honoring Richard Askey’s 65th birthday, Mount Holyoke College, MA, June 1998.
32. Special Session on “Modern Function Theory” at AMS meeting in Louisville, KY, March 1998.
33. “International Conference on Computational Methods and Function Theory III,” Cyprus, October 1997. (Chaired a session.)
34. Conference on the occasion of Haakon Waadeland’s 70th birthday, Trondheim, Norway, June 1997. (Gave plenary talk.)
35. Special Session on Geometric Function Theory in One and Several Complex Variables at annual AMS meeting in San Diego, CA, January 1997.
36. ODE to Linear Algebra and Rational Approximation Conference, Naval Postgraduate School, Monterey, CA, November 1996.
37. Workshop on Convolution Operators, University of Wyoming, July 1996. (Chaired a session and obtained local support for 2 accompanying graduate students.)
38. Mathematisches Forschungsinstitut, Funktionentheorie, Oberwolfach, Germany, April 1996. (Chaired a session.)
39. Special Session on elective approaches in training teaching assistants, Annual AMS meeting, San Francisco, CA, January 1995.
40. Special Session on Geometric Function Theory in One and Several Complex Variables, Annual AMS meeting, San Francisco, CA, January 1995.
41. International workshop on Geometric Function Theory (gave principal address), Lublin, Poland, June 1994.
42. Banach Center Symposium on Complex Analysis, Warsaw, Poland, June 1994. (Chaired a session.)
43. International conference on new trends in geometric function theory and applications II, Penang, Malaysia, March 1994. (Unable to attend, personal reasons.)
44. Annual Function Theory Conference, Dortmund, Germany, June 1993.
45. Mathematisches Forschungsinstitut, Funktionentheorie, Oberwolfach, Germany, February 1992.
46. Mathematisches Forschungsinstitut, Constructive Methods in Complex Analysis, Oberwolfach, Germany, February 1991.
47. International conference on new trends in geometric function theory and applications, Madras, India, July 1990. (Chaired a session.)
48. Special Session on complex function theory of one and several complex variables at Regional AMS meeting in Fayetteville, Arkansas, May 1990.
49. Special Session on geometric function theory in one and several complex variables at Annual AMS meeting in Louisville, Kentucky, January 1990.
50. Conference in honor of G. Schober, Indiana University, September 1989. (Chaired a session.)
51. NSF-CBMS conference on scientific computation on mathematical conjectures, Butler University, Indiana, June 1989. (Chaired a special session on open problems.)
52. International conference on Computational Methods and Functions Theory, Valparaiso, Chile, March 1989.
53. Symposium of Computational Aspects of Complex Analysis, Phoenix, Arizona, January 1989.
54. Mathematisches Forschungsinstitut, Computational Aspects of Complex Analysis, Oberwolfach, West Germany, August 1987.
55. 9th Conference on Analytic Functions, Lublin, Poland, June 1-6, 1986.
56. Solar Energy Conference, Anaheim, California, April 13-16, 1986.
57. Special Year in Complex Analysis, University of Maryland, November 1985.
58. Special Year in Complex Analysis, University of Maryland, September 1985.
59. International symposium on the proof of the Bieberbach Conjecture at Purdue University, March 1985.
60. National Science Foundation Conference Board of the Mathematical Sciences Regional Conference on J-Inner Matrices, Case Western University, Cleveland, Ohio, September 1984.
61. Special session on complex analysis at regional meeting of the American Mathematical Society at San Diego State University, California, October 1984.
62. Third regional conference on numerical analysis, North Texas State University, September 1984.
63. Mathematisches Forschungsinstitut Oberwolfach (Complex Analysis), West Germany, February 1984.
64. Special session of the American Mathematical Society Meeting, Fairfield, Connecticut, October 1983.
65. Regional conference on Numerical Analysis, Texas Tech University, September 1983.
66. Symposium on Numerical Analysis and Computational Complex Analysis, Swiss Federal Institute of Technology, Zurich, Switzerland, August 1983. (Chaired one of the sessions.)
67. Conference on Geometric Function Theory, University of Kentucky, May 1983.
68. Eighth Conference on Analytic Functions, Blazejewko, Poland, August 1982. (Unable to attend due to political unrest.)
69. North Atlantic Treaty Organization Advanced Institute on Computational Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
70. North Atlantic Treaty Organization Séminaire de Mathématiques Supérieures, Montreal, August 1981.
71. Complex Analysis Conference, University of Michigan, November 1980.
72. Special session of American Mathematical Society Meeting, Univalent Functions: Recent Developments, Ann Arbor, MI, August 1980.
73. Conference on Geometric Function Theory, University of Cincinnati, June 1980.
74. Special session of American Mathematical Society Meeting, Charleston, SC, November 1978.
75. Special session of American Mathematical Society Meeting, San Antonio, January 1976. (Chaired one of the sessions.)
76. Geometric Function Theory Conference in honor of M. S. Robertson’s retirement, State University of New York at Brockport, June 1975.
77. Complex Analysis Conference in honor of S. M. Shah’s retirement, University of Kentucky, May 1975.
78. Conference on Univalent Function Theory, University of Kentucky, June 1973.
79. Complex Analysis Conference, Kent State University, June 1972.

Editorship

1. Editor for The Journal of Analysis
2. Associate Editor for Computational Methods and Function Theory
3. The Complex Analysis and Special Function Theory Editor for the Rocky Mountain Journal of Mathematics
4. Associate Editor for International Journal of Computational and Applied Math

Referee For

1. Abstract and Applied Analysis
2. Advances in Applied Mathematics
3. American Math Monthly
4. Applied Mathematics Letters
5. Australian Journal of Mathematics and Applied Science
6. Bulletin of Korean Math Society
7. Bulletin of Malaysian Math Sciences
8. Bulletin of the Institute of Math, Academia Sinica
9. Canadian Journal of Mathematics
10. Colloquium Mathematicum
11. Commentarii Mathematici Helvetici
12. Communications in Mathematical Analysis
13. Complex Variables, Theory and Application
14. Computational Methods and Function Theory
15. Computers and Mathematics with Applications
16. Constructive Approximation
17. Glasnik Matematicki
18. Hacettepe J. of Mathematics and Statistics
19. Houston Journal of Math
20. Indian J. of Pure and Applied Mathematics
21. Indiana University Mathematics Journal
22. Integral Equations and Operator Theory
23. International J. of Analysis
24. International J. of Math and Mathematical Sciences
25. Journal d’Analyse Mathématique
26. Journal of Approximation Theory
27. Journal of Computational and Applied Mathematics
28. Journal of Inequalities and Applications
29. Journal of Math Analysis and Applications
30. London Math Society Proceedings
31. Mathematica Slovaca
32. Mathematical Communications
33. Mathematical and Computer Modeling
34. Mathematische Nachrichten
35. Mathematische Annalen
36. National Research Foundation of South Africa
37. National Science Foundation proposals
38. Pacific Journal of Mathematics
39. Pan American Mathematics Journal
40. Proceedings of CMFT ’95 conference
41. Proceedings of the American Mathematical Society
42. Research Council of Canada proposals
43. Rocky Mountain Journal of Mathematics
44. Science and Engineering Research Canada
45. SIAM Journal of Mathematical Analysis
46. The Ramanujan Journal
47. Transactions of the American Mathematical Society

Reviewer for Mathematical Reviews.

Seminar Participation

Active participant in the following (each of these met from one to three times per week):

1. Noyce Scholar Seminar, 2010-2015.
2. Analysis and Geometry Seminar, Texas Tech University, 1973-present (except for two years away); organized and directed this seminar 1978-1981.
3. Applied Mathematics Seminar, Texas Tech University, 2010-present.
4. Presented 8 lectures on Harmonic Measure in Analysis and Geometry seminar, 2000.
5. Differential Geometry and Algebra seminar, 1999-2002.
6. Control Theory Seminar, Fall 1996, Spring 1997.
7. Differential Geometry Seminar, 1995, Spring 1996.
8. Geometric Function Theory, Würzburg, Germany, summer 1993.
9. Also attended regular classes in Numerical Methods in Conformal Mapping, spring 1990.
10. Fracture Mechanics, spring 1990.
11. Sinc Methods in Numerical Analysis, fall 1990.
12. Introduction to computer languages, spring and fall 1990.
13. Quasiconformal Mapping Seminar, Texas Tech University, spring 1989 (organized and directed this seminar).
14. Complex Analysis Seminar, Indiana University, spring 1985.
15. Numerical Analysis Seminar, University of Kentucky, fall 1984 and Texas Tech University, fall 1989.
16. Geometric Function Theory Seminars, Texas Tech University, fall 1982 and 1985-1986.
17. Several Complex Variables Seminar, Texas Tech University, fall 1982; spring and fall 1988; fall 1989; and spring 1990.
18. Applied Mathematics Seminars, Texas Tech University, 1982-1983, summer 1985, 1985-1986, 1988-90, 1990-91.
19. Ordinary differential equations seminar, Texas Tech University, fall 1978.
20. Univalent Function Theory Seminar, Texas Tech University, summer 1977.
21. Foundations and Logic Seminar, Texas Tech University, spring 1977.
22. Several Complex Variables Seminar, University of Kentucky, 1972-1973.
23. Univalent Function Theory Seminar, University of Kentucky, 1971-1973, 1977-1978, and spring 1984.

Further Professional Contributions

1. Papers reviewed in 12 different categories in Math Reviews.
2. Under the auspices of a German Research Foundation Grant, in the summer of 1993 I conducted a seminar which met three times a week for three and one-half months on “Open Problems and Conjectures in Complex Analysis” at the Universität Würzburg, Germany. The attendees at this seminar included a group of young mathematics professors invited by the German government from Germany, China, Canada, Chile, Malaysia, Norway, Poland, and Colombia, as well as several graduate students from these countries.
3. Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of A. W. Goodman’s 80th birthday.
4. Invited paper in a special issue on conformal mapping of the Society of Industrial and Applied Mathematics’ Journal of Computational and Applied Mathematics.
5. Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of Malcolm Robertson’s 75th birthday.
6. Invited paper in commemorative issue of Annales Universitatis Mariae Curie-Sklodowska in honor of the 60th birthday of J. Krzyz, Director of the Math Institute of Poland.
7. Served as the editor of the open problems section of the proceedings of the North Atlantic Treaty Organization Advanced Institute on Computational Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
8. Organized and directed a conference on Univalent Function Theory at the University of Kentucky, April 1973.

Ph.D. Students

1. Arunabha Biswas (co-chair with A. Yu. Solynin), 2015
2. Udaya Jayatilake (co-chair with A. Yu. Solynin), 2013
3. Erin Williams (co-chair with J. Dwyer), 2013
4. Matthew Lochoman (co-chair with A. Yu. Solynin), 2011
5. Alexander Williams (co-chair with A. Yu. Solynin), 2010
6. Casey Hume (co-chair with G. B. Williams), 2006
7. David Martin (co-chair with G. B. Williams), 2006
8. Eric Murphy (co-chair with G. B. Williams), 2005
9. G. Lenny Ornas (co-chair with K. Pearce), 2003
10. Clint Richardson (co-chair with K. Pearce), 2002
11. Leah Butler Cole (co-chair with K. Pearce), 2002
12. William Wheeler (co-chair with K. Pearce), 1998
13. Jonathan Todd Lee (co-chair with K. Pearce), 1994
14. Kendall Richards, 1991
15. Rosihan Mohammed-Ali, 1985
16. John Plaster, 1980

Masters Students

1. Joseph Gilbert, 2011
2. Arunabha Biswas, 2010
3. Alexander Williams (co-chair with K. Pearce), 2006
4. Atul Dixit (co-chair with A. Yu. Solynin), 2006
5. Jeffrey Robinson (co-chair with K. Pearce), 2001
6. Richard Campos (co-chair with K. Pearce), 2000
7. Clint Richardson, 1999
8. Leah Butler Cole, 1999
9. Carolyn Campbell (co-chair with K. Pearce), 1996
10. William Wheeler, 1995
11. Joyce Johnson (co-chair with R. Anderson), 1986

Additional Contributions

1. Faculty mentor for Clark Scholars, Noyce Scholars, and South Plains Mathematics Scholars.
2. The introductory survey article by M. Vuorinen in the first issue of Mathematics Newsletter, The Ramanujan Society’s journal, contains a discussion of several of my results from five of my publications. The journal was distributed to every college and university throughout India in 2010.
3. Gave a short course on “Applications of symmetrization and polarization to problems in Geometric Function Theory” consisting of seven 1½-hour lectures at University of South Florida, November-December 2007.
4. Gave a course on “Special Functions of Mathematical Physics” at University of Würzburg, Germany, Summer 2006, as Giovanni-Prodi Chair.
5. Hosted Alex Solynin from the Steklov Institute, St. Petersburg, Russia, for Fall 2000 and Fall 2001 and Spring 2002.
6. Served as “External Assessor” to evaluate the mathematics program of Penang University, Malaysia, with an on-site visit of 10 days in April 1996.
7. Invited and hosted Distinguished ESA Visiting Professors: G. Schober from Indiana University; Ruscheweyh from University of Würzburg, Germany; P. Henrici from ETH, Zurich, Switzerland; R. Varga from Kent State University; and P. Duren from University of Michigan.
8. On the Mathematical Association of America Visiting Lecturer’s Panel.
9. On panel of Visiting Lecturers for Rocky Mountain Consortium.
10. Invited to participate in faculty exchange program with Middle East Technical University in Ankara, Turkey, for six weeks in summer 1990 with full support and travel allowance. (Unable to participate due to graduate commitments here.)

Service

Departmental Service

1. Elected member of the Executive Committee of the Math Department for at least 10 two-year terms. I was one of only two non-tenured faculty elected to Executive Committee.
2. Mentored several Noyce Scholars.
3. Elected member of the Graduate Committee, 7 two-year terms. I chaired the Graduate Committee 1991-1993.
4. Elected member of the Comprehensive Review Committees, 2002-2004.
5. Member of Departmental Hiring Committee, 12 one-year terms. (Chaired 1980-1983.)
6. Interviewed candidates at the AMS Annual Meetings, 1997-2006.
7. United Way coordinator, 1995-2003.
8. ESA Distinguished Visitors Committee, 1993-1999.
9. Originator and chair of the “Outstanding Public School Math Teacher” award, 1992-present.
10. Departmental Scholarship Committee, 1998-2002.
11. Department Research Committee, 1993-1999.
12. Member of Graduate Curriculum and Policy Sub-committee, 1983, and a textbook selection committee for undergraduate committee.
13. Clark Scholars, 1996-1997, and McNair Scholars.
14. Math Department Reunion Committee, 1994.
15. Received letter of deep appreciation from John White for assisting his chairmanship, 1987.
16. Strategic Planning Committee, 2002-2003.
17. Selection Committee for D. M. Brooks Professorship, 2004-2006.
18. On Emmy Noether Day organizing committee and MC, 2003-present.
19. Gave talks at SIAM Mini Symposia, 1994-present.
20. Made up and graded Complex Analysis Preliminary Exams, 1975-present.
21. Mentored TAs (2-3 a year) who were having trouble teaching, 1997-present.
22. Mentor in SIAM Graduate Mentoring Program, 2000-2003.
23. Judge at Graduate Research Day, 2005-2007.
24. Hosted several visitors over the years, e.g., S. Ruscheweyh, P. Duren, P. Henrici, J. Lewis, L. Reichel, T. Suffridge, B. Case, J. Quine, D. Lutzer, K. Richards, and participants of AMS Special Sessions. (Organizer.)
25. On selection committee for Math Department Chair for Ron Anderson, 1990.

University Service

1. On selection committee for Electrical Engineering Chair, late 1970s.
2. Faculty Senate (elected), 1986-1989; elected again in 1999.
3. Federal Demonstration Project Committee (Chair of Faculty subcommittee, 1989).
4. Judge at Sigma Chi Research and Creative Activity Days poster session, 1994.
5. Faculty Development Leave Committee (elected), 1998-2001.
6. Research Enhancement Fund Proposal Committee, 2001-2005.
7. Dean’s Representative for PhD Dissertation defenses (at least 1 a year), 1997-2005.
8. Graduate Council, 2002-2005, and on subcommittee for Graduate Faculty.
9. On panel for Thesis Dissertation Symposium of Graduate School evaluation, 2002 and 2005.
10. Big 12 Scholarship Committee, 2000.
11. On Jane Weiner’s special committee to handle plagiarism case (minimum 110 hours), 2007.
12. Member of the University Gender Equity Council, 2009-2012.
13. Gave pep talks on “Why Do Math” at local junior and senior high schools, 1990-1992.
14. Gave talks in O. Hensly’s Sociology class on “Why be a mathematician?”, 1990.
15. Gave talks in Andy Wilkerson’s Honors Classes on “Mathematics, Art and Music,” 2002-2006.
16. Gave talk on “How to do research in Graduate School” for Graduate School Workshop, 2006.
17. Gave talk at the Cross Cultural Academic Advancement Center to Native Americans for Summer Bridge Institute, 2008.

Professional Service

1. External Examiner for Math Department at Universiti Sains Malaysia, Penang, 1995.
2. Attended Southwest Placement Association Meeting to attract graduate students at Texas A&M, 1993.
3. Represented Math Department at Graduate Workshop at the University of Nebraska, 1997.
4. Member of Advanced Placement Expanding Scholarship Program Action Team for low-income students at Dana Center, Austin, TX.
5. Member of Rocky Mountain Consortium Board, 1996-present; elected Vice President of Executive Board, 1999-2000; President, 2001-2002; re-elected, 2002-2003.
6. Outside Reviewer for 3 PhD theses at Ramanujan Institute, Madras, India, and for 2 PhD theses at University of South Africa, 2000-2005.