A1 Refereed original research article in a scientific journal
Starlikeness of the Gaussian hypergeometric functions
Authors: Hästö Peter, Ponnusamy S, Vuorinen Matti
Publication year: 2010
Journal: Complex Variables and Elliptic Equations
Journal name in source: Complex Variables and Elliptic Equations
Number in series: null
Volume: 55
Issue: null
First page : 173
Last page: 184
Number of pages: 12
ISSN: 1747-6933
DOI: https://doi.org/10.1080/17476930903276134
Web address : http://api.elsevier.com/content/abstract/scopus_id:75649107631
Abstract
In this article, we derive conditions on the parameters a, b, c so that the function zF(a, b; c; z) is starlike in D, where F(a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator. © 2010 Taylor & Francis.
In this article, we derive conditions on the parameters a, b, c so that the function zF(a, b; c; z) is starlike in D, where F(a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator. © 2010 Taylor & Francis.
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