Some Hypergeometric Generating Relations Motivated by the Work of Srivastava and Their Generalizations

M.I. Qureshi¹ and Sulakshana Bajaj^2,

¹Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025, India,

²Department of Applied Sciences and Humanities, Modi Institute of Technology, Rawatbhata Road, Kota, Rajasthan 324010, India

Cite this paper:
M.I. Qureshi and Sulakshana Bajaj. Some Hypergeometric Generating Relations Motivated by the Work of Srivastava and Their Generalizations. Turkish Journal of Analysis and Number Theory. 2018; 6(5):136-147. doi: 10.12691/tjant-6-5-3

Abstract

In the present paper, we have obtained hypergeometric generating relations associated with two hypergeometric polynomials of one variable and with their independent demonstrations via Gould's identity. As applications, some well known and new generating relations are deduced. Using bounded sequences, further generalizations of two main hypergeometric generating relations have also been given for two generalized polynomials and .

Keywords:
Jacobi Polynomials generalized Laguerre polynomial generalized Rice polynomial of Khandekar Gould's identity.

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