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, Universitat at 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
- "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).
- "Addendum to "A direct proof of Brannan's conjecture for ß = 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).
- "A direct proof of Brannan's conjecture for ß=1," J. Math. Anal. Appl. 493
(2021) no. 2, Paper No. 124534, 12 pp. (with K. C. Richards).
- "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).
- "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).
- "Stephan Ruscheweyh 1944–2019," Comput. Methods Funct. Theory. 19
(2019) no. 4, 541-544 (with W. Bergweiler and I. Laine).
- "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).
- "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).
- "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).
- "Brannan's Conjecture and Trignometric Sums," Proc. Amer. Math. Soc. 143
(2015) no. 5, 2117-2128 (with U.C. Jayatilake and A. Yu. Solynin).
- "Autoregressive moving average models with exponential power distributions," Prob. Stat. Forum
7 (2014), 65-77 (with A.A. Trindade and R.I. Wickramasinghe).
- "Convex icebergs and sectorial starlike functions," Computational Methods in Function Theory Vol. 13 #4 (2013), 635-682 (with M.H. Lochman and A. Yu. Solynin).
- "Banks Criterion and symmetric stable laws with index of stability between one-half and one," Mathematical Methods in Statistics Vol. 21 #4 (2012), 251-282 (with P. Hadjicostas).
- "Iceberg-type problems: Estimating hidden parts of a continuum from the visible parts," Mathematische Nachricthen Vol. 285 #17-18 (2012), 2042-2058 (with K. Pearce and A. Yu. Solynin).
- "Applications of special functions to disparate fields," Journal of Analyses Vol. 18 (2011), 19-23.
- "Circle packing complex earthquakes," Ann. Acad. Sci. Fenn. Math. Vol. 36 (2011), no. 2, 423–447 (with E.M. Murphy and G.B. Williams).
- "Hyperbolically convex functions and the generalized Fekete-Szegö functional," J. Math. Anal. Appl. Vol. 384 (2011), no. 2, 366–374 (with D. Martin, David and G.B. Williams).
- "On a conjecture of Fournier, Ma, and Ruscheweyh for bounded convex functions," J. Anal. Vol. 18 (2010), 25–51 (with C. Hume and G.B. Williams).
- "On applications of special functions to disparate fields," J. Anal. Vol. 18 (2010), 9–23.
- "An improved asymptotic approximation for the first moment of order statistics from a generalized exponential distribution," Far East J. Theor. Stat. Vol. 33 (2010), no. 1, 1–11 (with A.A. Trindade).
- "A survey of some bounds for Gauss' hypergeometric function and related bivariate means," J. Math. Inequal. Vol. 4 (2010), no. 1, 45–52 (with K.C. Richards and H. Tiedeman).
- "Euclidean earthquakes," Complex Variables and Elliptic Equations Vol. 54 #7 (2009) pp. 639-642 (with E.M. Murphy and G.B. Williams).
- "A proof of Campbell's subordination conjecture," Complex Variables and Elliptic Equations Vol. 54 #2 (2009) pp. 103-117 (with K. Pearce).
- "Iteration of complex functions and Newton's method," Australian Senior Mathematics Journal Vol. 23 #1 (2009) pp 9-16 (with D. Cook, J. Corte and J. Dwyer).
- "A note on Turan-type and mean inequalities for the Kummer function," Journal of Math Analysis and Applications Vol. 349 (2009) pp. 259-263 (with K.C. Richards).
- "On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean," Journal of Inequalities in Pure and Applied Math Vol. 8 #3 (2008) Article 65 (with K. Richards).
- Geometric Function Theory, Special Functions and Applications, Editor. Special volume of Journal of Analysis Vol. 15 (2007), Chennai, India (with co-editors S. Ponnusamy).
- "Preservation of local dynamics when applying central difference methods; Application to SIR model," Journal of Difference Equations and Applications Vol. 13 #4 (2007) pp. 333-340 (with L. Roeger).
- "A note on a minimal area problem for non-vanishing functions," Quasiconformal Mappings and their Applications (2007), pp 1-9 (with C. Richardson and A. Yu. Solynin).
- "Some results on spaces of packable Riemann surfaces," Geometric Function Theory, Special Functions and Applications (2007), pp 1-16 (with E. Murphy and G.B. Williams).
- "The Verification of an Inequality," Geometric Function Theory, Special Functions and Applications (2007), pp 17-42 (with K. Pearce).
- "A sharp bound on the Schwarzian derivative of hyperbolically convex functions," Proc. London Math. Soc. Vol. 93 (2006) pp. 395-417 (with L. Cole, K. Pearce and G.B. Williams).
- "A minimum area problem for non-vanishing functions," Algebra i Analiz Vol. 18 (2006), no. 1, pp. 21-36 (with C. Richardson and A. Yu. Solynin).
- "A variational method for hyperbolically convex functions," (with G.L. Ornas and K. Pearce) Complex Variables, Theory and Application (accepted).
- "The Poincare metrics and isoperimetric inequalities for hyperbolic functions," (with P. Hadjicostas and A. Yu. Solynin) Trans. AMS Vol 357, No. 10 (2005) pp 3905-3932.
- "Concentration of area in half-planes," (with C. Richardson and A. Yu. Solynin) Proc. AMS Vol. 133, No. 7 (2005) pp. 2091-2099.
- "Univalency of weighted integral transforms of certain functions," (with S. Naik and S. Ponnusamy) Analysis (Munich) Vol. 24 (2004), no. 1, pp. 71-94
- "Local variations and minimal area problems," (with A. Yu. Solynin) Indiana J. of Math Vol.53 (2004) pp. 135-167.
- "Two parameter family of close-to-convex functions and convolution theorems," (with S. Naik, M. Obradovic and S. Ponnusamy) Analysis (Munich) Vol. 24 (2004) pp. 71-94.
- "Three Extremal Problems for Hyperbolically Convex Functions," (with K. Pearce and G.B. Williams) Computational Methods and Function Theory Vol.4 (2004) pp. 97-109 .
- "Area, width, and logarithmic capacity of convex sets," (with K. Pearce and A. Yu. Solynin) Pac. J. Math. Vol. 212, No. 1 (2003) pp. 13-24.
- "Minimal harmonic measure on complementary regions," (with Leah Cole and A. Yu. Solynin) Computational Methods and Function Theory Vol. 2, No. 1 (2002) pp. 229-248.
- "An isoperimetric inequality for logarithmic capacity," (with K. Pearce and A. Yu. Solynin) Ann. Acad. Sci. Fenn. Math Vol. 27 (2002) pp. 419-436.
- "Combinatorial excursions in moduli space," (with G. B. Williams) Pacific J. of Math Vol. 205, No. 1 (2002) pp. 3-30.
- "A note on the hypergeometric mean value," (with K. Richards) Computational Methods and Function theory Vol 1., No. 1 (2001) pp. 81-88.
- "Polynomial controller for linear systems," (with W. Dayawansa and C. Martin) Math and Computer Modeling, Vol.33 (2001) pp. 79-87.
- "Zeros of Cesaro sum approximations," (with K. Pearce and W. Wheeler) Complex Variables and Appl. Vol.45 (2001) pp. 327-348.
- "Inequalities for the perimeter of an ellipse," (with K. Pearce and L. Schovanec) J. of Math. Analysis and Appl., Vol.260,(2001) pp. 693-699.
- "A survey of applications of the Julia variation," (with C. Campell and K. Pearce) Annales Univ. Maria-Curie-Sklodowska, Vol. LIV,1, Sec.A (2000) pp. 1-20.
- "A monotonicity property involving 3F2 and comparisons of the classical approximations of elliptical arc length," (with K. Pearce and K. Richards) SIAM J. of Math. Analysis., Vol.32,No2,(2000) pp. 403-419.
- "An inequality for generalized hypergeometric functions and arc length of an ellipse," (with K. Pearce and K. Richards) SIAM J. of Math. Analysis. Vol.31,No3,(2000) pp. 693-699.
- "On Applications of Hypergeometric Functions," J. of Computational and Applied. Math Vol.105 (1999) pp. 1-8
- "Cesaro sum approximations of outer functions," (with J. Cima and K. Pearce) Annals M. Curie Sklodowska Univ. Ser. A, 52,1 (1998) pp. 1-7.
- "Gram polynomials and the Kummer function," (with G. Dahlquist, K. Pearce, L. Reichel, and K.C. Richards) J. of Approx. Thy. 94 (1998) pp. 128-143.
- "On a coeffcient conjecture of Brannan," (with K. Pearce, and W. Wheeler) Complex Variables, Theory and Application. 33 (1997) pp. 51-61.
- "An application of the Schur-Cohn algorithm to time series analysis," (with K. Chanda) J. of Time Series Analysis. Vol. 16, No. 5 (1995) pp. 445{449.
- "Inequalities for zero-balanced hypergeometric functions," (with G.D. Anderson, K. Richards, M. Vamanamurthy, and M. Vuorinen) Transactions of American Math. Soc. Vol. 347, No. 5, (1995) pp. 1713-23.
- "An inverse distortion theorem for univalent functions in the unit disc," (with St. Ruscheweyh) Annals M. Curie Sklodowska Univ. Sec A. 48, (1994) pp. 6-11.
- "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) pp. 1-5.
- "A distortion theorem for biholomorphic mappings in C2," (with C. FitzGerald and S. Gong)Transactions, American Math. Soc. 344 (1994) pp. 907-924.
- "An application from partial sums of e z to a problem in several complex variables," (with K. Pearce and R. Varga) J. of Computational and Applied Math. 46 (1993) pp. 271-279.
- "Sharp bounds on the Hp means of the derivative of convex functions for p = -1," (with K. Pearce) Complex Variables, Theory and Application 21 (1993) pp. 149-158
- "The growth and 1/4 theorems for starlike mappings in Cn," (with C. FitzGerald and S. Gong) Paci¯c J. Math. 150, No. 1, (1991) pp. 13-22. (Summary had appeared in Chinese Sci. Bull. Vol. 35 No. 5 (1991) pp. 357-359).
- "Polynomials with non-negative coefficients," (with W. Dayawansa, K. Pearce, and D. Weinberg) Proc. Amer. Math. Soc. Vol. 113, No. 1, (1991), pp. 77-86.
- "On Möbius transformations of starlike mappings," (with G. Schober), Complex Variables, Theory and Application Vol. 15, (1990) pp. 211-221.
- "Open problems and conjectures in complex analysis," Computational Methods and Function Theory. Lecture notes in Math #1435, Verlag. (1990) pp. 1-25.
- "Weighted inverse Hölder inequalities," (with J. Wells) Jnl. of Math. Analysis and Applications, Vol. 147, No. 1 (1990). pp. 198-213.
- "On the omitted area problem," (with J. L. Lewis) Mich. Math. Jnl., Vol. 34, 1987 pp. 13-22.
- "Math technology for generating mirror panel layouts for an icosahedral solar bowl," (refereed) Proc. on Solar Energy Conference, Anaheim, CA, March, 1986. (with R. Anderson and W.T. Ford) pp. 1-239.
- "Möbius transformations for convex mappings II," (with G. Schober) Complex Variables Theory and Applications. Vol. 7 (1986) pp. 205-214.
- "On the zeros of interpolating polynomials," (with W.T. Ford and H. Wang) SIAM Jnl. of Math. Anal., Vol. 17, No. 3 (1986), pp. 734-744.
- "Rounding corners of gearlike domains and the omitted area problem," (with K. Pearce) SIAM Jnl. of Computational and Applied Math., 14 (1986), pp. 217-226. Also appeared in Numerical Conformal Mapping, North Holland, 1986.
- "The Omitted Area Problem for Univalent Functions," Contemporary Math Series, Vol. 38, 1985, pp. 53-60.
- "Möbius transformations for convex mappings," (with G. Schober) Complex Variables Theory and Applications, Vol. 3, 1984, pp. 45-54.
- "On Campbell's conjecture on the radius of majorization of functions subordinate to convex functions," (with C.N. Kellogg) Rocky Mtn. Jnl., Vol. 14, 1984, pp. 331-339.
- "On the simultaneous univalence of f and f '," (with T. Suffridge) Mich. Math. Jnl., Vol. 30, 1983, pp. 9-16.
- "On the local variation of analytic slits," Annals M. Curie Sklodowska Univ., (Commemorative issue), Vol. XXXVI-II, 1982-1983, pp. 19-24.
- "Applications of convolution operators to problems in univalent function theory," (with C.N.Kellogg) Mich. Math. Jnl., Vol. 27, 1980, pp. 81-94.
- "On Robinson's 1/2 conjecture," Proc. AMS 72, No. 1, 1978, pp. 135-139.
- "On a generalization of Study's theorems for convex functions," Proc. AMS, Vol. 72, No. 1, 1978, pp. 127-134.
- "On bounded univalent functions whose ranges contain a fixed disk," Trans. AMS, Vol. 225, 1977, pp. 123-144.
- "On quasi-starlike functions," Ann. Pol. Math., XXXII, 1976, pp. 303-308.
- "On the radius of starlikeness of (zf)' for f univalent," Proc. AMS, Vol. 53, No. 2, 1975, pp. 385-390.
- "A variational technique for bounded starlike functions," Can. Journal Math., Vol. XXVII, No. 2, 1975, pp. 337-347.
- "On a coeficient inequality for starlike functions," Proc. AMS (47) 2, 1975, pp. 429-430.
- "Coeficient bounds for some classes of starlike functions," (with J.L. Lewis) Pacific Journal Math., Vol. 56 (2) 1975, pp. 325-331.
- "Subordination theorems for some classes of starlike functions," (with J.L. Lewis) Pacific Journal Math., Vol. 56 (2) 1975, pp. 333-366.
- "A counterexample to the two-thirds conjecture," (with J.L. Lewis) Proceedings American Math. Soc. (41) 2, 1973, pp. 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. Gchmeisser (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, Ed's. Ruscheweyh, etc. Lecture Notes in Math #1435 (1990) Springer. (3 references).
- The Bieberbach Conjecture Proceedings of the Symposium on the Occasion of the Proof, Ed's. Baernstein, A., etc. 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. Universite de Montreal (2 references).
- Bibliography of Schlicht Functions, Bernardi, S.D. (1982) Mariner. (15 references).
- Aspects of Contemporary Complex Analysis, Ed's. Brannan, D. and Clunie, J. (1980) Academic Press. (8 references).
- Complex Analysis Kentucky 1976, Ed's. 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 Reserach 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 $2000 for my PhD student, C. Hume, for summer 2005.
- Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student, L. Ornas, for summer 2002.
- Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student , C. Richardson, for summer 2001.
- Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student, L. Butler Cole, for summer 2001.
- Awarded Summer Dissertation/Thesis Award for $2000 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 $2000 for my Ph.D. student, W. Wheeler, for summer 1997.
- Awarded Summer Research Assistantship for $1000 for my Ph.D. student, W. Wheeler, for summer 1996.
- Awarded Summer Research Assistantship for $1000 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 Mathematishes Institut, Würzburg, Germany.
- Awarded a 2-year Texas Advanced Research Proposal grant titled "Problems in geometric function theory" $37,271 for 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: $3166, 1983; $5023, 1984; $8300, 1985; $11,467, 1986.
- Awarded a 2-year NSF research grant from 1979-1981 for $16,046.
INVITED COLLOQUIA AND HOURLY TALKS
- Brigham Young University, April 2016.
- University of Tennessee, March
2016.
- Brigham Young University March 2015.
- Baylor University, February 2014.
- University of Finland-Helsinki, August 2013 (unable to attend).
- Institut Mittag Leffler, August 2012.
- Walchand College of Engineering, Sangli, India, March 2012 (unable to attend).
- Plenary Lectures (2), Workshop, Chennai, India 2010 (chair 2 sessions).
- San Diego State University, February 2008.
- University of South Florida, December 2007.
- University of Tennessee, November 2007.
- University of Cincinnati, October 2007 (Two talks).
- University of Michigan, September 2007 (Three talks).
- University of Illinois, October 2006.
- University of Würzburg, Summer 2006 (Series of five talks on different topics).
- City University of New York, May 2005.
- Virginia Polytechnic Institute and State University , February 2005.
- College of William and Mary, February 2005.
- University of Arkansas, February 2005.
- University of Cincinnatti, April 2004.
- University of Tennessee, January 2002
- Southwestern University, Georgetown, May 2000
- San Diego State University , November 1999
- Arizona State University, November 1999
- University of Hawaii, June 1999
- Southwestern University, Georgetown, May 1998
- Southwestern University, Georgetown, June 1997.
- Kent State University, February 1997.
- Southwestern University, Georgetown, June 1996.
- Penang University, Malaysia, April 1996.
- Southwestern University, Georgetown, June 1995.
- Florida State University, April 1995
- University of Florida, April 1995
- Stephen F. Austin University, February 1995
- Southwestern University, Georgetown, November 1994
- Katholieke Universitat Nijmegen, Netherlands, July 1993
- Wichita State University, November 1992
- University of Kentucky, May 1992
- University of Cincinnati, March 1992
- University of Delaware, March 1992
- B. Baruch College, March 1992
- Kent State University, October 1991
- Indiana University, October 1990
- Washington University at St. Louis, October 1990
- University of Wisconsin, October 1990
- Syracuse University, October 1990
- University of Madras, India, July 1990
- University of Delaware, May 1990
- Kent State University, September 1989
- Indiana University, June 1989
- Purdue University, June 1989
- University of Valparaiso, Chile, March 1989
- University of California at San Diego, April 1988
- University of California at San Diego, May 1987
- University of Michigan, November 1986
- Kent State University, August 1986
- Bowling Green University, May 1986
- SUNY at Albany, May 1985
- Indiana University, April 1985
- University of Delaware, April 1985
- University of Maryland, April 1985
- University of West Virginia, April 1985
- University of Montreal, Canada, April 1985
- University of Lavel, Quebec, Canada, April 1985
- University of Cincinnati, April 1985
- Miami University, March 1985
- University of Kentucky, December 1984
- University of Kentucky, October 1984
- Kent State University, October 1983
- Mariae Curie Institute, Lublin, Poland, August 1983
- University of Maryland, August 1983
- University of Cincinnati, April 1982
- University of Delaware, April 1982
- Brigham Young University, July 1978
- University of Cincinnati, May 1978
- University of West Virginia, May 1978
- University of Maryland, March 1978
- University of Delaware, March 1978
- University of Kentucky, September 1977
- University of Michigan, January 1977
- 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
- Organizer: Special Session on "Complex Function Theory and Special Functions" at AMS Regional Meeting, Lubbock, Texas, April 2014.
- Organizer: Special Session on "Contempory Complex and Special Function Theory" at AMS Regional Meeting, Waco, Texas, October 2009.
- Organizer, Advisory Committee, Plenary Speaker: "International Conference on Geometric Function Theory, Special Functions and Applications, Pondicherry, India, January 2006.
- Organizer, Advisory Committee, Plenary Speaker: "International Workshop on Quasiconformal Mapping," Chennai, India, December 2005.
- 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 U.S.)
- Special Session on "Special Functions, Combinatorics ans Analyse," AMS Meeting, U. Arizona, October 2012.
- "International Workshop on Complex Analysis and Integrable Systems," Mittag-Leffler Institute, Stockholm, Sweden, August 2012.
- Special Session on "Applicaitons of Special Functions in Mathematical Physics," U. South Florida, March 2012.
- "Computational Methods and Function Theory" at Bilkent University, Andara, Turkey, June 2009. (chaired a session.)
- Special Session on "Special Functions and Orthogonal Polynomials" at AMS-PIMS Meeting, Vancouver, B.C., October 2008.
- Conference on "One and Several Complex Variables" at University of Kentucky, May 2008.
- B. Twomey's Retirement Conference "Complex Function Theory" at University College Cork, Ireland, April 2008. (chaired a session.)
- Participation in Classical Analysis Conference at University of North Carolina, September 2007. (chaired a session.)
- Special Session on "Complex Analysis" at the CMS-MITACS Joint Conference, Winnipeg, Manitoba, June 2007. (chaired a session.)
- "Tag de Functiontheorie" at RWTH, Aachen, Germany, June 2006.
- "International Conference on Complex and Harmonic Analyis" at Aristole University of Thessalonki, Greece, May 2006. (chaired a session.)
- Special Session on "Special Functions and Polynomials" at Regional AMS Meeting at University of Notre Dame, April 2006.
- Plenary talk at "Recent Advances in Operator Related Function Theory," honoring Peter Duren's 70th birthday, Madrid, Spain, October 2005. (chaired a session.)
- "Computational Mehtods and Function Theory V," Joensu, Finland, June 2005. (chaired a session.)
- Plenary talk at "Analysis Conference on the Interplay of Complex Variable, Probability and Partial Differential Equations," honoring Al Baernstein's 65th birthday, Washington University, St. Louis, Missouri, May 2005.
- Mathematisches Forschungainstitut, Funktionentheorie, Oberwolfach, Germany, February 2004.
- "Praire Analysis Seminar" at Kansas State University, Manhattan, Kansas, October 2003. (chaired a session.)
- Special session on "Cosntructive Approximation Theory," Seville, Spain, June 2003.
- "Nevanlinna Colloquium" and "Workshop on Metric Spaces," Jveskala, Finland, June 2003 (chaired a session.)
- Seminar at Steklov Institute of Mathematics, St. Petersburg, Russia, June 2003.
- International conference on "Quadrature Domains and Applications" honoring H. Shaprio's 75th birthday at University of California at Santa Barbara, Santa Barbara, California, March 2003.
- International conference on "Geometric Function Theory" honoring H. Grotzsch at Martin Luther University in Halle-Wittenberg, Germany, May 2002.
- Special session on "Topics Geometric Function Theory" at Regional AMS meeting at University of Michigan, March 2002. (chaired a session.)
- Special session on "Geometric Function Theory" at Regional AMS meeting in Chattanooga, Tennessee, October, 2001. (chaired a session.)
- "Computational Methods and Function Theory ’01’ ," International conference at Aviero, Portugal , June 2001.
- Special session on "Complex Variables" at Regional AMS meeting in University of Kansas, March 2001.
- "Workshop on Planar Harmonic Mappings" at the Technion , Haifa, Israel. January, 2000.
- "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.)
- "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.)
- Computation and Control VI conference, Montana St. U. August 1998. (Chaired a session.)
- NSF Summer Research Conference honoring Richard Askey's 65th birthday. Mount Holyhoke College, MA, June 1998.
- Special session on "Modern Function Theory" at AMS meeting in Louisville, KY in March 1998.
- "International conference on Computational Methods and Function Theory" III. Cyprus. October 1997. (Chaired a session.)
- Conference on occasion of Haakon Waadeland's 70th birthday, Trondheim, Norway. June 1997. (Gave plenary talk.)
- Special session on Geometric function theory in one and several complex variables" at annual AMS meeting in San Diego, CA. January 1997.
- ODE to Linear Algebra and Rational Approximation Conference, Naval Postgraduate School, Monterey, CA. November 1996.
- Workshop on Convolution Operators, University of Wyoming, July 1996. (Chaired a session and obtained local support for 2 accompanying graduate students.)
- Mathematisches Forschungainstitut, Funktionentheorie Oberwolfach, Germany. April, 1996. (Chaired a session.)
- Special session on Elective approaches on training teaching assistants," Annual AMS meeting, San Francisco, CA, January 1995.
- Special session on Geometric function theory in one and several complex variables," Annual AMS meeting, San Francisco, CA, January, 1995.
- International workshop on Geometric Function Theory (gave principal address), Lublin, Poland, June, 1994.
- Banach Center Symposium on Complex Analysis, Warsaw, Poland, June, 1994. (Chaired a session)
- International conference on New Trends on geometric function theory and Appl., II," Penang, Malaysia, March 1994. (Unable to attend, personal reasons).
- Annual Function Theory Conference, Dortmond, Germany, June, 1993.
- Mathematisches Forschungainstitut, Funktionentheorie Oberwolfach, Germany, Feb., 1992.
- Mathematisches Forschungainstitut, Constructive Methods in Complex Analysis Oberwolfach, Germany, Feb., 1991.
- International conference on New Trends in Geometric function theory and Applications" Madras, India, July 1990. (Chaired a session)
- Special session on Complex function theory of one and several complex variables" at Regional AMS meeting in Fayetteville, Arkansas, May 1990.
- Special session on Geometric function theory in one and several complex variables" at Annual AMS meeting in Louisville, Kentucky, January 1990.
- Conference in honor of G. Schober, Indiana University September 1989. (Chaired a session.)
- NSF-CBMS conference on Scientific Computation on Mathematical conjectures," Butler University, Indiana June 1989. (Chaired a special session on open problems.)
- International conference on Computational Methods and Functions Theory, Valparaiso, Chile, March 1989.
- Symposium of Computational Aspects of Complex Analysis," Phoenix, Az January 1989.
- Mathematisches Forschungainstitut, Computational aspects of complex analysis, Oberwolfach, West Germany, August 1987.
- 9th Conference on Analytic Functions, Lublin, Poland, June 1 - 6, 1986.
- Solar Energy Conference, Anaheim, California, April 13 - 16, 1986.
- Special Year in Complex Analysis, University of Maryland, November 1985.
- Special Year in Complex Analysis, University of Maryland, September 1985.
- International symposium on the proof of the Bieberbach Conjecture at Purdue University, March 1985.
- National Science Foundation Conference Board of the Mathematical Sciences Regional Conference on J-Inner Matrices, Case Western University, Cleveland, Ohio, September 1984.
- Special session on complex analysis at regional meeting of the American Mathematical Society Meeting at San Diego State University, California, October 1984.
- Third regional conference on numerical analysis, North Texas State University, September 1984.
- Mathematisches Forschungainstitut Oberwolfach, (Complex Analysis), West Germany, February 1984.
- Special session of American Mathematical Society Meeting, Fairfield, Connecticut, October 1983.
- Regional conference on Numerical Analysis, Texas Tech University, September 1983.
- Symposium on Numerical Analysis and Computational Complex Analysis, Swiss Federal Institute of Technology, Zurich, Switzerland, August 1983. (Chaired one of the sessions)
- Conference on Geometric Function Theory, University of Kentucky, May 1983.
- Eighth Conference on Analytic Functions, Blazejewko, Poland, August 1982. (Unable to attend due to political unrest.)
- North Atlantic Treaty Organization Advanced Institute on Computational Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
- North Atlantic Treaty Organization Seminaire de Mathematiques Superieures, Montreal, August 1981.
- Complex Analysis Conference, University of Michigan, November 1980.
- Special session of American Mathematical Society Meeting, Univalent Functions: Recent Developments, Ann Arbor, MI, August 1980.
- Conference on Geometric Function Theory, University of Cincinnati, June 1980.
- Special session of American Mathematical Society Meeting, Charleston, SC., November 1978.
- Special session of American Mathematical Society Meeting, San Antonio, January 1976. (Chaired one of the sessions.)
- Geometric Function Theory Conference in honor of M.S. Robertson's retirement, State University of New York at Brockport, June 1975.
- Complex Analysis Conference in honor of S. M. Shah's retirement, University of Kentucky, May 1975.
- Conference on Univalent Function Theory, University of Kentucky, June 1973.
- Complex Analysis Conference, Kent State University, June 1972.
EDITORSHIP
- Editor for The Journal of Analysis
- Associate Editor for Computational Methods and Function Theory
- The Complex Analysis and Special Function Theory Editor for the Rocky Mountain Journal of Mathematics
- Associate Editor for International Journal of Computational and Applied Math
REFEREE FOR:
- Abstract and Applied Analysis
- Advances in Applied Mathematics
- American Math Monthly
- Applied Mathematics Letters
- Australian Journal of Mathematics and Applied Science
- Bulletin of Korean Math Society
- Bulletin of Malaysean Math Sciences
- Bulletin of the Institute of Math, Academia, Sinica
- Canadian Journal of Mathematics
- Colloquium Mathematicam
- Commentari Mathematica Helvetica
- Communications in Mathematical Analysis
- Complex Variables, Theory and Application
- Computational Methods and Function Theory
- Computers and Mathematics with Applications
- Constructive Approximation
- Glasnek Mathemalicki
- Hacettepe J. of Mathematics and Statistics
- Houston Journal of Math
- Indian J. of Pure and Applied Mathematics
- Indiana University Mathematics Journal
- Integral Equations and Operator Theory
- International J. of Analysis
- International J. of Math and Mathematical Sciences
- Journal d'Analyse Mathematique
- Journal of Approximation Theory
- Journal of Computational and Applied Mathematics
- Journal of Inequalities and Applications
- Journal of Math Analysis and Applications
- London Math Society Proceedings
- Mathematica Slovaca
- Mathematical Communications
- Mathematical and Computer Modeling
- Mathematische Nachrichten
- Mathematische Annalen
- National Research Foundation of South Africa
- National Science Foundation proposals
- Pacific Journal of Mathematics
- Pan American Mathematics Journal
- Proceedings of CMFT '95 conference
- Proceedings of the American Mathematical Society
- Research Council of Canada proposals
- Rocky Mountain Journal of Mathematics
- Science and Engineering Research Canada
- SIAM Journal of Mathematical Analysis
- The Ramanujan Journal
- Transactions 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):
- Noyce Scholar Seminar, 2010 -2015.
- Analysis and Geometry Seminar, Texas Tech University, 1973-present (except for two years away); organized and directed this seminar 1978-1981.
- Applied Mathematics Seminar, Texas Tech University, 2010-present.
- Presented 8 lectures on Harmonic Measure in Analysis and Geometry seminar 2000
- Differential Geometry and Algebra seminar for 1999-2002
- Control Theory Seminar, Fall 1996, Spring 1997.
- Differential Geometry Seminar, 1995, Spring 1996.
- Geometric Function Theory, WÄ urtzburg, Germany, summer 1993.
- Also attended regular classes in Numerical Methods in Conformal Mapping, spring 1990.
- Fracture Mechanics, spring 1990.
- Sinc Methods in Numerical Analysis, fall 1990.
- Introduction to computer languages, spring and fall 1990.
- Quasiconformal mapping seminar. Texas Tech University spring 1989 (organized and directed this seminar.)
- Complex analysis seminar, Indiana University, spring 1985.
- Numerical analysis seminar, University of Kentucky, fall 1984 and Texas Tech University fall 1989
- Geometric function theory seminars, Texas Tech University, fall 1982 and 1985-1986.
- Several complex variables seminar, Texas Tech University, fall 1982, spring and fall 1988, fall 1989 and spring 1990.
- Applied mathematics seminars, Texas Tech University, 1982-1983, summer 1985 and 1985-1986, 1988-90, 1990-91.
- Ordinary di®erential equations seminar, Texas Tech University, fall 1978.
- Univalent function theory seminar, Texas Tech University, summer 1977.
- Foundations and logic seminar, Texas Tech University, spring 1977.
- Several complex variables seminar, University of Kentucky, 1972-1973.
- Univalent function theory seminar, University of Kentucky, 1971-1973, 1977-1978 and spring 1984.
FURTHER PROFESSIONAL CONTRIBUTIONS
- Papers reviewed in 12 different categories in Math Reviews.
- 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 Universitat Wuerzburg, 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 Columbia as well as several graduate students from these countries.
- Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of A.W. Goodmon's 80th birthday.
- Invited paper in a special issue on conformal mapping of the Society of Industrial and Applied Math's Journal of Computational and Applied Mathematics.
- Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of Malcomb Robertson's 75th birthday.
- Invited paper in commemorative issue of Annales Universitatis Mariae Curie-Sklodowska in honor of 60th birthday of J. Krzyz, Director of the Math. Institute of Poland.
- Served as the editor of the open problems section of the proceedings of the North Atlantic Treaty Organization Advanced Institute on Computation Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
- Organized and directed a conference on Univalent Function Theory at the University of Kentucky, April 1973.
PH.D. STUDENTS
- Arunabha Biswas (co-chair with A. Yu. Solynin), 2015
- Udaya Jayatilake (co-chair with A. Yu. Solynin), 2013
- Erin Williams (co-chair with J. Dwyer), 2013
- Matthew Lochoman (co-chair with A. Yu. Solynin), 2011
- Alexander Williams (co-chair with A. Yu. Solynin, 2010
- Casey Hume (co-chair with G.B. Williams), 2006
- David Martin (co-chair with G.B. Williams), 2006
- Eric Murphy (co-chair with G.B. Williams), 2005
- G. Lenny Ornas (co-chair with K. Pearce), 2003
- Clint Richardson (co-chair with K. Pearce), 2002
- Leah Butler Cole (co-chair with K. Pearce), 2002
- William Wheeler (co-chair with K. Pearce), 1998
- Jonathan Todd Lee (co-chair with K. Peace), 1994
- Kendall Richards, 1991
- Rosihan Mohammed-Ali, 1985
- John Plaster, 1980
MASTERS STUDENTS
- Joseph Gilbert, 2011
- Arunabha Biswas, 2010
- Alexander Williams (co-chair with K. Pearce), 2006
- Atul Dixit (co-chair with A. Yu. Solynin), 2006
- Jeffrey Robinson (co-chair with K. Pearce), 2001
- Richard Campos (co-chair with K. Pearce), 2000
- Clint Richardson, 1999
- Leah Butler Cole, 1999
- Carolyn Campbell (co-chair with K. Pearce), 1996
- William Wheeler, 1995
- Joyce Johnson (co-chair with R. Anderson), 1986
ADDITIONAL CONTRIBUTIONS
- Faculty mentor for Clark Scholars, Noyce Scholars, South Plains Mathematics Scholars
- The introductory survey article by M. Vuorinen in the first copy of The Ramanujan Society's new journal Mathematics Newsletter 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.
- 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.
- Gave a course on "Special Functions of Mathematical Physics" at University of Würzburg, Germany, Summer 2006, as Giovanni-Prodi Chair.
- Hosted Alex Solynin from the Steklov Institute St. Petersberg Russia for Fall 2000 and Fall 2001 and Spring 2002.
- Served as "External Assesor" to evaluate the mathematics program of Penang University, Malaysia with an on site visit 10 days in April 1996.
- Invited and hosted Distinguished ESA Visiting Professors; G. Schober from Indiana Univ., Ruscheweyh from Univ. WÄ urtzburg, Germany, P. Henrici from ETH, Zurich Switzerland, R. Varga from Kent State Univ. and P. Duren from Univ. of Michigan.
- On the Mathematical Association of America Visiting Lecturer's Panel.
- On panel of Visiting Lecturers for Rocky Mountain Consortium.
- Invited to participate in faculty exchange program with Mid-Eastern Turkey Tech 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
- Elected member of the Executive Committee of the Math Dept for at least 10 two-year terms. I was one of only two non-tenured faculty elected to Executive Committee.
- Mentored Several Noyce Scholars.
- Elected member of the Graduate Committee, 7 two-year terms. I chaired the Grad Committee 1991-1993.
- Elected member of the Comprehensive Review Committees 2002-2004.
- Member of Departmental Hiring committee 12 - 1year terms. (Chaired 1980-1983).
- Interviewed candidates at the AMS Annual Meetings, 1997-2006.
- United Way coordinator, 1995-2003.
- ESA Distinguished Visitors Committee, 1993-1999.
- Originator and chair of the "Outstanding Public School Math Teacher" award, 1992-present.
- Departmental Scholarship committee, 1998-2002.
- Department Research committee, 1993-1999.
- Member of Graduate Curriculum and Policy Sub-committee, 1983, and a textbook selection committee for undergraduate committee.
- Clark Scholars 1996-1997 and McNair Scholars.
- Math Department Reunion Committee, 1994.
- Received letter of deep appreciation from John White for assisting his chairmanship, 1987.
- Strategic Planning committee, 2002-2003.
- Selection Committee for D.M. Brooks Professorship, 2004-2006.
- On Emmy Noether Day organizing committee and MC, 2003-present.
- Gave talks at SIAM's Mini Symposiums, 1994-present.
- Made up and graded Complex Analysis Preliminary Exams, 1975-present.
- Mentored TA's (2-3 a year) who were having trouble teaching, 1997-present.
- Mentor in SIAM "Graduate Mentoring Program", 2000-2003.
- Judge at Graduate Research Day, 2005-2007.
- Hosted several visitors over the years, e.g. S. Ruschewegh, P. Duren, P. Henrici, J. Lewis, L. Reichel, T. Suffridge, B. Case, J. Quine, D. Lutzer, K. Richards, participants of AMS Special Sessions. (Organizer)
- On selection committee for Math Department Chair for Ron Anderson, 1990.
University Service
- On selection committee for Electrical Engineering Chair, late 70's.
- Faculty Senate, (Elected), 1986-1989, elected in 1999.
- Federal Demonstration Project Committee (Chair of Faculty, subcommittee, 1989).
- Judge at Sigma Chi, Research and Creative Activity Days" poster session, 1994.
- Faculty Development Leave Committee (Elected) 1998-2001.
- Research Enhancement Fund Proposal committee, 2001-2005.
- Dean's Representative for PhD Dissertation defenses, (at least 1 a year), 1997-2005.
- Graduate Council, 2002-2005 and on subcommittee for Graduate Faculty.
- On "Panel for Thesis Dissertation Symposium" of Graduate School evaluation, 2002 and 2005.
- Big 12 Scholarship committee, 2000.
- On Jane Weiner's Special Committee to handle plagiarism case (minimum 110 hours) 2007.
- Member of the "University Gender Equity Council," 2009-2012.
- Gave pep talks on "Why Do Math" at local Junior and Senior High Schools, 1990-1992.
- Gave talks at O. Hensly's class in Sociology on "Why be a mathematician?", 1990.
- Gave talks in Andy Wilkerson's Honors Classes on "Mathematics, Art and Music", 2002-2006.
- Gave talk on "How to do research in Graduate School" for Grad School Workshop, 2006.
- Gave talk at "Cross Cultural Academic Advancement Center" to Native Americans for "Summer Bridge Institute", 2008.
Professional Service
- External Examiner for Math Department at University Sans Malaysia, Penang, 1995.
- Attended "S.W. Placement Association Meeting" to attract graduate students at Texas A.M., 1993.
- Represented Math Department at "Graduate Workshop" at the University of Nebraska, 1997.
- Member of "Advanced Placement Expanding Scholarship Program Action Team for low income students" at Dana Center, Austin, TX.
- Member of Rocky Mountain Consortium board, 1996-present, elected Vice President of Executive Board, 1999-2000, President, 2001-2002, re-elected, 2002-2003.
- Outside Reviewer for 3 PhD Thesis, at Ramanujan Institute, Madras, India and for 2 PhD Thesis at University of south Africa, 2000-2005.
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