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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 201

Volume : 18 , Issue : 2
DOI: 10.56827/SEAJMMS.2022.1802.7
Author :
Shyamli Gupta (Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra - 282004, U. P., INDIA)

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 series, continued fraction, basic hypergeometric series and poly-basic q-series.

A.M.S. subject classification

Primary 33D15, 33D65, Secondary 11A55.

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