Some bounds for the k-generalized digamma function

Authors : Hesham Moustafa, Mansour Mahmoud, Ahmed Talat

Pages : 1126-1140

Doi:10.31801/cfsuasmas.1230703

View : 85 | Download : 138

Publication Date : 2023-12-29

Article Type : Research Paper

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