Preprint Article Version 1 This version is not peer-reviewed

Some New Results Associated with the Generalized Lommel-Wright Function

Version 1 : Received: 23 February 2018 / Approved: 26 February 2018 / Online: 26 February 2018 (10:24:47 CET)

How to cite: Haq, S..; Nisar, K.S.; Khan, A.H. Some New Results Associated with the Generalized Lommel-Wright Function. Preprints 2018, 2018020155 (doi: 10.20944/preprints201802.0155.v1). Haq, S..; Nisar, K.S.; Khan, A.H. Some New Results Associated with the Generalized Lommel-Wright Function. Preprints 2018, 2018020155 (doi: 10.20944/preprints201802.0155.v1).

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.

Subject Areas

Gamma function; generalized Wright hypergeometric function ${_p \psi_q}$; hypergeometric function ${}_pF_q$; generalized Lommel-Wright functions $J^{\mu\,m}_{\nu,\lambda}(z)$; Lavoie-Trottier integral formula

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