G-continued fractions for basic hypergeometric functions II

In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables. As an application we obtain a G-continued fraction extension of the Rogers–Rama...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 284; no. 2; pp. 435 - 446
Main Authors:	Bowman, Douglas, Choi, Geumlan
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 15.08.2003 Elsevier
Subjects:	Algebra Exact sciences and technology Functions of a complex variable Mathematical analysis Mathematics Number theory Sciences and techniques of general use Sequences, series, summability Special functions Fully regular system Recurrence relation Rogers Ramanujan continued fraction Hypergeometric function Convergent series Infinite system Special function Regular system Continued fractions Equation system
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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