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

Authors

  • Shyamli Gupta (Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra - 282004, U. P., INDIA)

Keywords:

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

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.

 

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Published

2023-06-21

Issue

Vol. 18 No. 02 (2022): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles