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....

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Veröffentlicht in:	Journal of difference equations and applications Jg. 20; H. 11; S. 1502 - 1522
Hauptverfasser:	Agrawal, S., Sahoo, S.K.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Abingdon Taylor & Francis 02.11.2014 Taylor & Francis Ltd
Schlagworte:	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-Zugang:	Volltext
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