http://repository.iitr.ac.in/handle/123456789/10055
Title: | Certain sufficiency conditions on Gaussian hypergeometric functions |
Authors: | Swaminathan, Anbhu |
Published in: | Journal of Inequalities in Pure and Applied Mathematics |
Abstract: | The author aims at finding certain conditions on a, b and c such that the normalized Gaussian hypergeometric function zF(a, b; c; z) given by F(a, b; c; z) = ∑n=0∞ (a, n)(b, n)/(c, n)(1, n) z n, |z| > 1, is in certain subclasses of analytic functions. A particular operator acting on F(a, b; c; z) is also discussed. |
Citation: | Journal of Inequalities in Pure and Applied Mathematics (2004), 5(4): 1-10 |
URI: | http://repository.iitr.ac.in/handle/123456789/10055 |
Issue Date: | 2004 |
Keywords: | Convex functions Gaussian hypergeometric functions Starlike functions |
ISSN: | 14435756 |
Author Scopus IDs: | 55209564300 |
Author Affiliations: | Swaminathan, A., Department of Mathematics, Indian Institute of Technology, IIT-Kharagpur, Kharagpur- 721 302, India |
Corresponding Author: | Swaminathan, A.; Department of Mathematics, Indian Institute of Technology, IIT-Kharagpur, Kharagpur- 721 302, India; email: swami@maths.iitkgp.ernet.in |
Appears in Collections: | Journal Publications [MA] |
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