On certain continued fractions related to \(_2\Psi_2\) basic bilateral hypergeometric functions
type: Item
instance of: scholarly article
title: On certain continued fractions related to \(_2\Psi_2\) basic bilateral hypergeometric functions
zbMATH Open document ID: 1010.33007
author: K. R. Vasuki
author: H. S. Madhusudhan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: Continued fractions are developed for the quotients \[ {_2\psi_2 \left( \begin{matrix} aq, & b \\ c & d \end{matrix}; x\right) \over_2\psi_2 \left( \begin{matrix} a,b\\ c,d \end{matrix}; x\right)} \quad\text{and}\quad {_2\psi_2\left( \begin{matrix} a, & bq\\ c, & d\end{matrix}; x\right)}. \] Some special cases in which the \(_2\psi_2\) functions reduce to \(_2\varphi_1\) or \(_2F_1\), and further special cases of these functions, are given. Convergence of the continued fractions is not analyzed. The authors claim that some of their results seem to be new, but unfortunately they do not say which ones.
reviewed by: Shaun Cooper
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 1874252
zbMATH Keywords: continued fraction
zbMATH Keywords: basic hypergeometric series
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1874252