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

Ahmed Salem

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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|ISSN 1686-0209|