Tur\'an-type inequaities for generalized polygamma function

TL;DR

This paper establishes new Turán-type inequalities for generalized polygamma functions, extending previous work and contributing to the understanding of their mathematical properties.

Contribution

It introduces novel Turán-type inequalities specifically for k-polygamma and p-k-polygamma functions, expanding the theoretical framework.

Findings

New inequalities for k-polygamma functions

Extensions to p-k-polygamma functions

Enhanced understanding of polygamma function properties

Abstract

Inspired by the work of C. Mortici [1] and A. Laforgia et. al [2] we have established some new Tur\'an-type inequalities for k-polygamma function and p-k-polygamma function.