On Some Properties of the Real Matrix-Variate Gamma Function


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Authors

  • Thomas Awinba Akugre Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana
  • Kwara Nantomah Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana

Keywords:

Real matrix-variate gamma function, real matrix-variate digamma function, logarithmically convex, inequality

Abstract

In this paper, we prove that the real matrix-variate gamma function is logarithmically convex and as a consequence, we derive some inequalities involving the function. Also, we introduce the real matrix-variate digamma function and as applications, we derive some inequalities for certain ratios of the real matrix-variate gamma function. The methods of proofs are analytical in nature.

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Published

15-06-2019

How to Cite

Thomas Awinba Akugre, & Kwara Nantomah. (2019). On Some Properties of the Real Matrix-Variate Gamma Function. International Journal of Mathematics And Its Applications, 7(2), 97–103. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/252

Issue

Vol. 7 No. 2 (2019)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.