CERTAIN HYPERGEOMETRIC GENERATING FUNCTIONS INDUCED BY THE WORK OF BRAFMAN AND SHIVELY

M. I. Qureshi; Shakir Hussain Malik

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

Shakir Hussain Malik 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 79-92 April 30, 2020 277 downloads

Article overview

Abstract

In this paper, we obtain three hypergeometric generating relations associated with Kamp\'{e} de F\'{e}riet double hypergeometric functions, by means of Gauss' quadratic transformation, Whipple's quadratic transformation, K\"{u}mmer's first transformation and Series rearrangement technique. Some special cases are also discussed.

Keywords and Phrases

Hypergeometric functionsSeries rearrangement techniqueAppell functionJacobi polynomialsKhandekar's generalized Rice polynomials.

AMS Subject Classification

33C20, 33C65, 33C45.

Reference information

How to Cite

M. I. Qureshi, Shakir Hussain Malik (2020). CERTAIN HYPERGEOMETRIC GENERATING FUNCTIONS INDUCED BY THE WORK OF BRAFMAN AND SHIVELY. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 79-92.

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