Some Inequalities for the $q$-Gamma and the $q$-Polygamma Functions: Ahmed Salem

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Some Inequalities for the $q$-Gamma and the $q$-Polygamma Functions

Ahmed Salem

Authors

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Keywords:

inequalities, q-gamma function, q-polygamma functions, completely monotonic function

Abstract

In this paper, the complete monotonicity property for functions related to the $q$-gamma and the $q$-polygamma functions, where $q$ is a positive real number, is proved and exploited to establish some inequalities for the $q$-gamma and the $q$-polygamma functions.

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Published

2018-12-01

How to Cite

Team, S. (2018). Some Inequalities for the $q$-Gamma and the $q$-Polygamma Functions: Ahmed Salem. Thai Journal of Mathematics, 16(3), 683–692. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/823