Kent Pearce -- Curriculum Vitae

Kent Pearce

Department of Mathematics and Statistics
Texas Tech University
Lubbock, Texas 79409-1042
Voice: (806)742-2566 x 226
FAX: (806)742-1112
Email: kent.pearce@ttu.edu

Curriculum Vitae

Academic or Professional Positions

September 1997 - Present	Texas Tech University Professor
July 1991- Present	Texas Tech University Department of Mathematics and Statistics Associate Chair
September 1986-August 1997	Texas Tech University Associate Professor
January-December 1987	Institute Teknologi MARA Texas International Education Consortium (Shah Alam, Malaysia)
September 1980-August 1986	Texas Tech University Assistant Professor

Education

August 1975-May 1980	State University of New York at Albany Ph.D., Mathematics Advisor: Louis Brickman
September 1972-April 1975	Brigham Young University M.S., Mathematics Advisor: Douglas Campbell
July 1969-May 1972	Brigham Young University B.S., Mathematics
September 1966-March 1967	Utah State University

Research and/or Creative Activity

Published Research and Research Accepted for Publication:
1. "Iceberg-type Problems: Estimating Hidden Parts of a Continuum from the Visible Parts" Mathematische Nachricthen accepted, with R.W. Barnard and A.Y. Solynin.
2. "The Verification of an Inequality" Journal of Analysis (Geometric Function Theory, Special Functions and Applications) 15 (2007), 17-41, with Roger W. Barnard.
3. "A Sharp Bound on the Schwarzian Derivatives of Hyperbolically Convex Functions" Proceeding of the London Mathematical Society 93 (2006), 395-417, with Roger W. Barnard, Leah Cole and G. Brock Williams.
4. "A Variational Method For Hyperbolically Convex Functions" Complex Variables and Elliptic Equations 51 (2006), 313-327, with Roger W. Barnard and G. Lenny Ornas.
5. "Three Extremal Problems for Hyperbolically Convex Functions" Computational Methods and Function Theory 4 (2004), 97-109, with R.W. Barnard and G.B. Williams.
6. "Area, Width, And Logarithmic Capacity Of Convex Sets" Pacific Journal of Mathematics 212 (2003), 13-23 with Roger W. Barnard and Alex Yu. Solynin.
7. "An Isoperimetric Inequality for Logarithmic Capacity" Annales Academiae Scientiarium Fennicae Mathematica 27 (2002), 419-436, with Roger W. Barnard and Alex Yu. Solynin.
8. "Creating a Refereed Electronic Mathematics Journal" ICTCM 13^th (2001) 160-164, with G.A. Harris and S. Cooper.
9. "Zeros of Cesàro Sum Approximations" Complex Variables. Theory and Application. An International Journal 45 (2001), 327-348, with Roger W. Barnard and William Wheeler.
10. "Inequalities for the Perimeter of an Ellipse" Journal of Mathematical Analysis and Applications 260 (2001) 295-306, with Roger W. Barnard and Lawrence Schovanec.
11. "A Survey of Applications of the Julia Variation" Annales Universitatis Marie Curie-Sklodowska Lublin-Polonia, 54 (2000), 1-20, with Roger W. Barnard and Carolynn Campbell.
12. "A Monotonicity Property Involving ₃F₂ and Comparisons of Classical Approximations of Ellipitcal Arc Length" SIAM J. Math. Anal. 32 (2000) 403-419, with Roger W. Barnard and Kendall Richards.
13. "An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse" SIAM J. Math. Anal. 31 (2000) 693-699, with Roger W. Barnard and Kendall Richards.
14. "The Effects of Placement Examinations and Enforcing Prerequisites on Student Success in Entry-Level Mathematics Courses" Proceedings 1998 ASEE/GSW (1998) 171-176, with R.M. Anderson.
15. "Cesàro Sum Approximations of Outer Functions" Annuales Universitatis Mariae Curie-Sklodowska, Sec A Mathematica, 52 (1998) 1-7, with Roger W. Barnard and Joe Cima.
16. "Gram Polynomials and the Kummer Function" Journal of Approximation Theory, 94 (1998) 128-143, with Roger W. Barnard, G. Dahlquist, L. Reichel and Kendall C. Richards.
17. "On a Coefficient Conjecture of Brannan" Complex Variables. Theory and Application. An International Journal, 33 (1997) 51-61, with Roger W. Barnard and William Wheeler.
18. "A Short Proof of a Conjecture on the Integral Means of the Derivative of a Convex Function" Annales Universitatis Marie Curie-Sklodowska Lublin-Polonia, 48 (1994), 1-5, with Roger W. Barnard.
19. "An Application from the Partial Sums of e^z to a Problem in Several Complex Variables" Journal of Computational and Applied Mathematics, 46 (1993) 271-279, with Roger W. Barnard and Richard S. Varga.
20. "Sharp Bounds on the H_p Means of the Derivative of a Convex Function for p = -1" Complex Variables. Theory and Application. An International Journal, 21 (1993) 149-158, with Roger W. Barnard.
21. "Polynomials with Nonnegative Coefficients" Proceedings of the American Mathematical Society, 113 (1991) 77- 86, with Roger W. Barnard, W. P. Dayawansa and David Weinberg.
22. "A Constructive Method for Numerically Computing Conformal Mappings for Gearlike Domains" SIAM Journal on Scientific and Statistical Computing, 12 (1991) 231-246.
23. "Sums of Exponentials with Polynomial Coefficients" Applied Mathematics and Computation, 40 (1990) 33-39, with Clyde F. Martin and John Miller.
24. "Numerical Solution of Positive Sum Exponential Equations" Applied Mathematics and Computation, 34 (1989) 89-93, with Clyde F. Martin and John Miller.
25. "Parameter Identification by Continuation Methods" Applied Mathematics and Computation, 34 (1989) 17-27, with Clyde F. Martin and John Miller.
26. "Rounding Corners of Gearlike Domains and the Omitted Area Problem" Journal of Computational and Applied Mathematics, 14 (1986) 217-226, with Roger W. Barnard. Also, appeared in Numerical Conformal Mapping, North Holland, 1986.
27. "A Note on a Problem of Robinson" Proceedings of the American Mathematical Society, 89 (1983), 623-627.
28. "A Product Theorem for F_p Classes and an Application" Proceedings of the American Mathematical Society, 84 (1982), 509-515.
29. "New Support Points of S and Extreme Points of HS" Proceedings of the American Mathematical Society, 81 (1981), 425-428.
30. "Generalized Bazilevic Functions" The Rocky Mountain Journal of Mathematics, 9 (1979), 197-226, with Douglas M. Campbell.
Participation at Professional Meetings:

Invited addresses:

International Conference on Geometric Function Theory, Special Functions and Applications, "The Verification of an Inequality," Pondicherry, India, January 2006.
International Workshop on Quasiconformal Mappings and their Applications, "The Verification of an Inequality," Chennai, India, December 2005.
Session on Conformal Mapping and Grid Generation, 14th IMACS World Congress on Computation and Applied Mathematics, "Rounding Corners for Polygonal Domains," Atlanta, Georgia, July 1994.
Universiti Sains Malaysia, Minden, "Several Methods in Numerical Conformal Mapping," Penang, Malaysia, May 1987.

Conference presentations:

Special Session of AMS Sectional Meeting #1006, "Three Extremal Problems for Hyperbolically Convex Functions," Lubbock, Texas, April 2005.
Session of AMS 102nd Annual Meeting (chaired), "Geometric Properties Inherited by Approximating Cesaro Sums," Orlando, Florida, January 1996.
MAA Poster Session of Annual Meeting, "NSF ILI Project: A Computing Classroom Laboratory for UNdergraduate Mathematics Instruction," Orlando, Florida, January 1996.
Session of AMS 101st Annual Meeting, "A Short Proof of an Integral Means Conjecture for Convex Functions," San Francisco, California, January 1995.
Session of AMS 98th Annual Meeting, "Verification of an Integral Means Conjecture of Ruscheweyh with an Application to the Krzyz Conjecture," Baltimore, Maryland, January 1992.
Session of AMS 97th Annual Meeting (chaired), "Square Iterable Univalent Functions," San Francisco, California, January 1991.
Session of AMS 806th Meeting, "Omitted Area for Starlike Functions," Fairfield, Connecticut, October 1983.
Session of AMS 87th Summer Meeting, "On Rounding Corners," Albany, New York, August 1983.
Session of AMS 89th Annual Meeting, "A Problem of Robinson," Denver, Colorado, January 1983.
Session of AMS 88th Annual Meeting, "An Update on the Radius of Starlikeness of R," Cincinnati, Ohio, January 1982.
Session of AMS 87th Annual Meeting (chaired), "A Problem of F. John for Non-univalent Functions," San Francisco, California, January 1981.
Special Session of AMS 84th Summer Meeting, "New Support Points of S and Extreme Points of HS," Ann Arbor, Michigan, August 1980.

Software Development

GLPACK: a software package, modeled on Trefethen's SCPACK, for numerically computing the conformal mapping from the standard domain (the unit disk) to a "gearlike" domain. The package GLPACK is publicly available at Email: netlib@research.att.com

Funded Research

"Web Site Dedicated to the Collegiate Mathematics Preparation of Preservice K-12 Teachers: A Development and Installation Project at Texas Tech", (with Gary A. Harris (P.I.), Robert E. Byerly, et al.), NSF $16,148, June 1997-August 1997.
"Mathematical Sciences Computational Research Environment", (with Clyde F. Martin (P.I.), Roger W. Barnard, et al.), NSF $38,672, TTU: 100% matching funds, September 1996-August 1999.
"Computing Environment for Mathematics and Medicine", (with Clyde F. Martin (P.I.), Roger W. Barnard, et al.), Digital Equipment Corporation: $80,000, TTU: 100% matching funds, March 1996-February 1999.
Travel support to attend "Communicating Mathematics with Hypertext" at The Geometry Center, Univeristy of Minnesota, $500, June 1996.
"Enhancing Mathematics Remediation at Texas Tech", Texas Tech . . Fund 2005, $940, January 1996-September 1996.

Teaching

Direction of graduate sudents

Erwin, Brock, M.S., Thesis: The Usefulness of Non-University Tests as Substitutes for the Math Placement Exam, 2007 (co-chair Petros Hadjicostas)
Flores, Raymond, M.S., Thesis: Psychometric Analyses of a Mathematics Placement Exam, 2007 (co-chair Arturo Olivarez)
Williams, Alexander, M.S., Thesis: Power Series Coefficients of Some Classical Functions, 2006 (co-chair Roger W. Barnard)
Ornas, Lenny, Ph.D., Thesis: Maximum distortion results for hyperolically convex functions, 2003 (co-chair Roger W. Barnard)
Richardson, Clint, Ph.D., Thesis: Concentration of Area in Half-planes, 2002 (co-chair Roger W. Barnard)
Butler (Cole), Leah, Ph.D., Thesis: Applications of special function theory to complex analysis, 2002 (co-chair Roger W. Barnard)
Robinson, Jeff, M.S., Thesis: Controlling Zeros of Interpolating Series, 2001 (co-chair Roger W. Barnard)
Campos, Richard, M.S., Thesis: Majorization and Pseudo-subordination of a Class of Analytic Functions, 2000 (co-chair Roger W. Barnard)
Cole, Leah, M.S., Thesis: Applications of Matrix Theory to Approximation Theory, 1999 (co-chair Roger W. Barnard)
Wheeler, William, Ph.D., Thesis: On Properties of the Zeros of the Cesàro Approximants to Outer Functions, 1998 (co-chair Roger W. Barnard)

Campbell, Carolyn Marie, M.S., Thesis: Variational Methods in Geometric Function Theory, 1996 (co-chair Roger W. Barnard)

Lee, Jonathan Todd, Ph.D., Thesis: Radius of Convexity of Parametrized Transforms of Univalent Functions, 1994 (co-chair Roger W. Barnard)

Conferences attended:

NSF-CBMS Regional Conference, "Scientific Computations on Mathematical Conjectures," Butler University, Indianapolis, Indiana, June 1989.
AMS-SIAM Summer Seminar, "Computational Solution of Nonlinear Systems of Equations," Colorado State University, Fort Collins, Colorado, July 1988.
Special Year in Complex Analysis--Session on Geometric Function Theory, University of Maryland at College Park, College Park, Maryland, September 1985.
Special Conference to Celebrate the Proof of the Bieberbach Conjecture, Purdue University, West Lafayette, Indiana, March 1985.

Academic or Professional Positions

Education

Research and/or Creative Activity

Teaching