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 p ψ q , Hypergeometric function p F q , generalized Lommel-Wright functions J µ m ν,λ (z), Lavoie-Trottier integral formula. MSC[2010]: 33B20, 33C20, 33B15 Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted:

On Some Image Formulas for Generalized Lommel Wright Function Involving a General Class of Polynomials Sangeeta Choudhary

“…For suitable choices of the parameters µ, ωand υ, each of our integral formulasy ( 15), ( 16), ( 17), ( 18), ( 19) and ( 20) (with k = 1 ) give some known as well as new results for the generalized Bessel function J µ ω,υ (z), the Struve function H ω (z) and the classical Bessel function J ω (z), which are related to the generalized Lommel-Wright function J µ,k ω,υ (z) by means of ( 5), ( 6) and (7). Particularly, if we take l = 0in equations ( 15), ( 16), ( 17) and ( 18), we obtain known results derived by Agrawal et al[ [23]] and Haq et al [ [22]].…”

“…provided 0 < R (η) < R (δ) Integral formulas involving Lommel-Wright functions have been developed by many authors (see, e.g. [ [22]- [25]]). In the present paper, we obtain some fractional integrals along with unified integral formulas for the product of a general class of polynomial and generalized Lommel-Wright function.…”