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Mapping properties of basic hypergeometric functions

Baricz, Árpád and Swaminathan, Anbhu (2014) Mapping properties of basic hypergeometric functions. Journal of Classical Analysis, 5 (2). pp. 115-128. ISSN 1848-5979

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Abstract

It is known that the ratio of Gaussian hypergeometric functions can be represented by means of g-fractions. In this work, the ratio of q-hypergeometric functions are represented by means of g-fractions that lead to certain results on q-starlikeness of the q-hypergeometric functions defined on the open unit disk. Corresponding results for the q-convex case are also obtained.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Arpad Baricz
Date Deposited: 22 Sep 2015 08:40
Last Modified: 22 Sep 2015 08:40
URI: http://real.mtak.hu/id/eprint/27186

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