Logarithmically Complete Monotonicity of Certain Ratios Involving the \(k\)-Gamma Function

Authors

  • Kwara Nantomah Department of Mathematics, University for Development Studies, Navrongo Campus, P.O. Box 24, Navrongo, UE/R
  • Li Yin Department of Mathematics, Binzhou University, Binzhou City, Shandong Province, P.O. Box 256603

DOI:

https://doi.org/10.26713/cma.v9i4.1108

Keywords:

\(k\)-gamma function, \(k\)-polygamma function, Logarithmically completely monotonic function, Inequality

Abstract

In this paper, we prove logarithmically complete monotonicity properties of certain ratios of the \(k\)-gamma function. As a consequence, we deduce some inequalities involving the \(k\)-gamma function and the \(k\)-trigamma function.

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References

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Published

16-02-2019
CITATION

How to Cite

Nantomah, K., & Yin, L. (2019). Logarithmically Complete Monotonicity of Certain Ratios Involving the \(k\)-Gamma Function. Communications in Mathematics and Applications, 9(4), 559–565. https://doi.org/10.26713/cma.v9i4.1108

Issue

Vol. 9 No. 4 (2018)

Section

Research Article

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