New summation formulas of Fox-Wright-type series containing the polygamma functions

The main focus of the present paper is to establish new summations formulas of Fox-Wright-type series containing the polygamma functions in terms of some special functions (such as the G-Meijer functions). A number of interesting new special cases and consequences of the main results are also considered. Moreover, we present some numerical results that illustrate the results of this work. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

Automated summary

The main focus of this paper is to establish new summation formulas of Fox-Wright-type series containing the polygamma functions in terms of some special functions (such as the G-Meijer functions). Several interesting new special cases and consequences of the main results are also considered. Additionally, numerical results are presented to illustrate the findings of this study.