Some bounds for the k-generalized digamma function

Year 2023, Volume: 72 Issue: 4, 1126 - 1140, 29.12.2023

Hesham Moustafa , Mansour Mahmoud Ahmed Talat

https://doi.org/10.31801/cfsuasmas.1230703

Abstract

We presented some monotonicity properties for the k-generalized digamma function $\psi_{k}(h)$ and we established some new bounds for $\psi_{k}^{(s)}(h),$ $s\in \mathbb{N}\cup\{0\},$ which refine recent results

Keywords

Gamma function, digamma function, polygamma function, completely monotonic function, asymptotic expansion, inequalities

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