SOME NEW RESULTS ASSOCIATED WITH THE GENERALIZED LOMMEL-WRIGHT FUNCTION

Abstract

The aim of this article is to establish a new class of unified integrals associated with the generalized Lommel-Wright functions, which are expressed in terms of Wright Hypergeometric function.Some integrals involving trigonometric,generalized Bessel function and Struve functions are also indicated as special cases of our main results.further, with the help of our main results and their special cases, we obtain two reduction formulas for the Wright hypergeometric function. keywords: Gamma function, generalized Wright hypergeometric function pψq, Hypergeometric function pFq, generalized Lommel-Wright functions J μm ν,λ (z), Lavoie-Trottier integral formula. MSC[2010]: 33B20, 33C20, 33B15