ON CERTAIN CONTINUED FRACTION REPRESENTATION FOR RATIO OF POLY-BASIC HYPERGEOMETRIC SERIES

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 142

Volume : 13 , Issue : 1
DOI:
Author :
Sunil Singh (Department of Mathematics, Sydenham College of Commerce and Economics, Mumbai, INDIA)
Nidhi Sahni (Department of Mathematics, Sharda University, Greater Noida, INDIA)

Abstract

In this paper we shall attempt to establish a continued fraction representation for the ratio of two poly-basic series with finite number of parameters each on a different base. In the sequel we also establish a continued fraction representation for a well-poised basic bilateral hypergeometric function.

Keywords and Phrases

Continued fraction, poly-basic hypergeometric series, bilateral hypergeometric series, well-poised.

A.M.S. subject classification

11A55, 30B70.

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