Article citationsMore >>

P´olya, G. and Szeg¨o, G; Problems and Theorems in Analysis, Vol. I, (Translated from theGerman by D.Aeppli) Springer-Verlag, New York, Heidelberg and Berlin (1972).

has been cited by the following article:

Article

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

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


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 5, 136-147
DOI: 10.12691/tjant-6-5-3
Copyright © 2018 Science and Education Publishing

Cite this paper:
M.I. Qureshi, 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.

Correspondence to: Sulakshana  Bajaj, Department of Applied Sciences and Humanities, Modi Institute of Technology, Rawatbhata Road, Kota, Rajasthan 324010, India. Email: sulakshana80@ymail.com

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