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KYUNGPOOK Math. J. 2019; 59(4): 725-734

Published online December 23, 2019

Copyright © Kyungpook Mathematical Journal.

Integral Formulas Involving Product of Srivastava’s Polynomials and Galu´e type Struve Functions

Daya Lal Suthar∗ and Mitku Andualem

Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia
e-mail : dlsuthar@gmail.com and andualemmitku@gmail.com

Received: March 5, 2018; Revised: August 1, 2019; Accepted: August 5, 2019

Abstract

The aim of this paper is to establish two general finite integral formulas involving the product of Galué type Struve functions and Srivastava’s polynomials. The results are given in terms of generalized (Wright’s) hypergeometric functions. These results are obtained with the help of finite integrals due to Oberhettinger and Lavoie-Trottier. Some interesting special cases of the main results are also considered. The results presented here are of general character and easily reducible to new and known integral formulae.

Keywords: Galué, type Struve function, gamma function, generalized Wright function, Oberhettinger integral formula, Lavoie-Trottier integral formula.