Geometric properties of basic hypergeometric functions

In this article, we consider basic hypergeometric functions introduced by Heine. We study the mapping properties of certain ratios of basic hypergeometric functions having shifted parameters and show that they map the domains of analyticity onto domains convex in the direction of the imaginary axis....

Full description

Bibliographic Details

Published in:	Journal of difference equations and applications Vol. 20; no. 11; pp. 1502 - 1522
Main Authors:	Agrawal, S., Sahoo, S.K.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 02.11.2014 Taylor & Francis Ltd
Subjects:	continued fraction convexity in the direction of the imaginary axis Difference equations g-fraction Gauss and basic hypergeometric functions Geometry Hausdorff moment sequence Hypergeometric functions Mapping Mathematical analysis Mathematical functions q-difference operator univalent, starlike and close-to-convex functions
ISSN:	1023-6198, 1563-5120
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!