CERTAIN  GENERATING RELATIONS ASSOCIATED WITH THE FAMILY OF BESSEL FUNCTIONS AND MULTIPLE HYPERGEOMETRIC FUNCTIONS

M. I. Qureshi; Tafaz ul Rahman Shah; Bilal Ahmad Bhat

CERTAIN GENERATING RELATIONS ASSOCIATED WITH THE FAMILY OF BESSEL FUNCTIONS AND MULTIPLE HYPERGEOMETRIC FUNCTIONS

M. I. Qureshi Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,

Tafaz ul Rahman Shah Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,

Bilal Ahmad Bhat Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,

Volume 17, Issue 1 Pages 139-152 April 30, 2021 263 downloads

Article overview

Abstract

In this paper, we obtain Laurent and Maclaurin types of hypergeometric generating relations for certain mixed special functions related to the Bessel functions using series rearrangement technique. Further some generating functions for Appell's functions, Lauricella's functions and multiple hypergeometric functions of Kamp\'{e} de F\'{e}riet, are also given.

Keywords and Phrases

Appell functionsBessel functionsGenerating relationsKamp\'{e} de F\'{e}riet's multiple hypergeometric functionsLauricella functions.

AMS Subject Classification

33C65, 33C10, 05A15.

Reference information

How to Cite

M. I. Qureshi, Tafaz ul Rahman Shah, Bilal Ahmad Bhat (2021). CERTAIN GENERATING RELATIONS ASSOCIATED WITH THE FAMILY OF BESSEL FUNCTIONS AND MULTIPLE HYPERGEOMETRIC FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 139-152.

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