Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

Abstract

Abstract In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k-generalized digamma and polygamma functions.

Keywords

• Complete monotonicity
• Generalized k-gamma and k-polygamma functions
• Inequality