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

Print ISSN: 0972-7752

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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