A NOVEL KIND OF THE MULTI-INDEX WHITTAKER
FUNCTION AND ITS CERTAIN PROPERTIES
Musharraf Ali1, Mohd Ghayasuddin2, Waseem A. Khan3,
Kottakkaran S. Nisar4
1 Department of Mathematics
G.F. College
Shahjahanpur - 242001, INDIA
2 Department of Mathematics
Integral University
Centre Shahjahanpur - 242001, INDIA
3 Department of Mathematics and Natural Sciences
Prince Mohammad Bin Fahd University, P.O. Box: 1664
Al Khobar - 31952, SAUDI ARABIA
4 Department of Mathematics, College of Arts and Sciences
Prince Sattam bin Abdulaziz University
Wadi Aldawaser, SAUDI ARABIA

Abstract

In this paper, we propose a novel expansion of the Whittaker function $M_{\eta,\zeta}(w)$ by utilizing the known expanded confluent hypergeometric function of the first kind $\Phi_{p}^{(\lambda_{1},\cdots,\lambda_{s},\delta_{1},\cdots,\delta_{s})}(\kappa_{2}; \kappa_{3}; w)$. Moreover, some integral representations, transformation formulae, integral transforms and a differential formula also established.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 6
Year: 2021

DOI: 10.12732/ijam.v34i6.1

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