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Research Article

ON CERTAIN CONTINUED FRACTIONS INVOLVING BASIC BILATERAL HYPERGEOMETRIC FUNCTION $_2\Psi_2$

S
Shyamli Gupta Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra - 282004, U. P., INDIA
Volume 18, Issue 2 Pages 71-76 August 30, 2022 376 downloads
Article overview

Abstract

In this paper we establish certain continued fractions representation for the ratio of two $_2\Psi_2$’s. We also discuss certain continued fraction representation for the ratio of two $_3\Psi_2$’s with two bases and $_4\Psi_3$’s with one base.

Keywords and Phrases

Basic bilateral hypergeometric seriescontinued fractionbasic hypergeometric series and poly-basic q-series.

AMS Subject Classification

Primary 33D15, 33D65, Secondary 11A55.

Reference information

How to Cite

Shyamli Gupta (2022). ON CERTAIN CONTINUED FRACTIONS INVOLVING BASIC BILATERAL HYPERGEOMETRIC FUNCTION $_2\Psi_2$. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 71-76.
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