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

[摘要] 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.

[学科分类] 电力

[关键词] Complete monotonicity;Generalized k -gamma and k -polygamma functions;Inequality