Notable Achievements

Professor of Mathematics Kendall Richards and Jordan Smith ’20 coauthored the article “A Concavity Property of Generalized Complete Elliptic Integrals,” which has been accepted for publication in the journal Integral Transforms and Special Functions. This collaboration began in an independent study last spring and continued into the summer. This fall, Smith began his graduate studies in mathematics at Baylor University.

MORE

Kendall Richards

Professor of Mathematics

Expertise

Special Functions, Inequalities, Complex Analysis

Dr. Richards strives to engage students in the process of discovering the beauty and utility of mathematics.

He received his PhD from Texas Tech University in 1991 and his BS & MA from Eastern New Mexico University in 1984 & 1986, respectively.

Research Areas: Special Functions, Inequalities, Complex Analysis

  • Biography

    Dr. Richards strives to engage students in the process of discovering the beauty and utility of mathematics.

    He received his PhD from Texas Tech University in 1991 and his BS & MA from Eastern New Mexico University in 1984 & 1986, respectively.

    Research Areas: Special Functions, Inequalities, Complex Analysis

  • Publications

    Selected Publications:

    • A concavity property of generalized complete elliptic integrals, coauthored with Jordan Smith (SU student), Integral Transforms and Special Functions, Volume 32 (2021) no. 3. 

     

    • A direct proof of Brannan’s conjecture for β = 1
      coauthored with R.W. Barnard, The Journal of Mathematical Analysis and Applications, Volume 493 (2021) no. 2.

     

    • A concavity property of the complete elliptic integral of the first kind, coauthored with H. Alzer, Integral Transforms and Special Functions Volume 31 (2020) no. 9.

     

    • On sharp bounds for ratios of k-balanced hypergeometric functions, coauthored R.W. Barnard and Elyssa Sliheet (SU student), Proceedings of the American Mathematical Society, Volume 148 (2020) no. 2.

     

    • A note on inequalities for the ratio of zero-balanced hypergeometric functions, Proceedings of the American Mathematical Society, Series B, Volume 6 (2019).

     

    • Inequalities for the ratio of complete elliptic integrals, coauthored with H. Alzer, Proceedings of the American Mathematical Society, Volume 145 (2017) no. 4.

     

    • A note on the accuracy of a computable approximation for the period of a pendulum, coauthored with Eric Oden (SU student), AIP Advances, Volume 5 (2015).

     

    • A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities, coauthored with H. Alzer, Analysis Mathematica, Volume 41 (2015), no. 3.

     

    • On the modulus of the Grötzsch ring, coauthored with H. Alzer, The Journal of Mathematical Analysis and Applications, Volume 432 (2015), no. 1, 134–141.

     

    • On sharp frame diagonalization, coauthored with Richards Denman and Fumiko Futamura, Linear Algebra and Applications, Volume 438 (2013), no. 5.

     

    • A note on weighted identric and logarithmic means, coauthored with Hilari C. Tiedeman (SU student), Journal of Inequalities in Pure and Applied Mathematics Volume 7 (2006), Issue 5, Article 157.

     

    • Sharp power mean bounds for the Gaussian hypergeometric function, Journal of Mathematical Analysis and Applications, Volume 308 (2005).

     

    • Inequalities for zero-balanced hypergeometric functions, coauthored with G.D. Anderson, R.W. Barnard, M.K. Vamanamurthy, and M. Vuorinen, Transactions of the American Mathematical Society, Volume 347 (1995), no. 5.

     

    • Majorization and domination in the Bergman space, coauthored with Boris Korenblum, Proceedings of the American Mathematical Society, Volume 117 (1993), no. 1.

     

    • Comparing comparisons: infinite sums vs. partial sums, Mathematics Magazine Volume 66 (1993) no. 2.

     

    • Totally monotone functions with applications to the Bergman space, coauthored with B. Korenblum, R. O’Neil, and K. Zhu, Transactions of the American Mathematical Society Volume 337 (1993), no. 2.