SOME HYPERGEOMETRIC GENERATING FUNCTIONS MOTIVATED BY THE WORK OF BEDIENT AND RAINVILLE

M. I. Qureshi; Bilal Ahmad Bhat

M. I. Qureshi 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 16, Issue 1 Pages 111-122 April 30, 2020 235 downloads

Article overview

Abstract

In this article, some hypergeometric generating relations involving Kamp\'{e} de F\'{e}riet's double hypergeometric functions are derived by using series rearrangement technique, a reduction formula and Whipple's quadratic transformation. Some special cases involving Appell's functions of second, third kind, Rainville polynomial and two Bedient's polynomials, are also obtained.

Keywords and Phrases

Hypergeometric functionsSeries rearrangement techniqueWhipple's quadratic transformationBedient polynomials.

AMS Subject Classification

33C20, 33C45, 05A15.

Reference information

How to Cite

M. I. Qureshi, Bilal Ahmad Bhat (2020). SOME HYPERGEOMETRIC GENERATING FUNCTIONS MOTIVATED BY THE WORK OF BEDIENT AND RAINVILLE. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 111-122.

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