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

Sunil Singh; Nidhi Sahni

Sunil Singh Department of Mathematics, Sydenham College of Commerce and Economics, Mumbai, INDIA

Nidhi Sahni Department of Mathematics, Sharda University, Greater Noida, INDIA

Volume 13, Issue 1 Pages 57-64 April 30, 2017 214 downloads

Article overview

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 fractionpoly-basic hypergeometric seriesbilateral hypergeometric serieswell-poised.

AMS Subject Classification

11A55, 30B70.

Reference information

How to Cite

Sunil Singh, Nidhi Sahni (2017). ON CERTAIN CONTINUED FRACTION REPRESENTATION FOR RATIO OF POLY-BASIC HYPERGEOMETRIC SERIES. South East Asian Journal of Mathematics and Mathematical Sciences, 13(1), 57-64.

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