A HYPERGEOMETRIC GENERATING FUNCTION INFLUENCED BY THE WORK OF BURCHNALL, KRALL-FRINK AND RAINVILLE

M. I. Qureshi; Aarif Hussain Bhat

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

Aarif Hussain 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 51-64 April 30, 2020 201 downloads

Article overview

Abstract

In this paper,we obtain a hypergeometric generating relation associated with Srivastava-Daoust double hypergeometric function using a closed form of reduction formula and series rearrangement technique.Some results of Burchnall, Krall-Frink and Rainville are also obtained as special cases of our result.

Keywords and Phrases

Srivastava-Daoust double hypergeometric functionSeries rearrangement techniqueReduction formulaRainville polynomialsGeneralized Bessel polynomials.

AMS Subject Classification

33C45, 05A15, 33C20.

Reference information

How to Cite

M. I. Qureshi, Aarif Hussain Bhat (2020). A HYPERGEOMETRIC GENERATING FUNCTION INFLUENCED BY THE WORK OF BURCHNALL, KRALL-FRINK AND RAINVILLE. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 51-64.

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