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Complete monotonicity related to the k-polygamma functions with applications

Li Yin, Jumei Zhang, XiuLi Lin

Advances in Difference Equations · 2019

doi:10.1186/s13662-019-2299-6 (opens in a new tab)

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Abstract

Abstract In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.

Abstract licence: CC BY

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