http://repository.iitr.ac.in/handle/123456789/10098| Title: | Convexity of the incomplete beta functions |
| Authors: | Swaminathan, Anbhu |
| Published in: | Integral Transforms and Special Functions |
| Abstract: | In this paper the author finds the condition on b and c such that the incomplete beta function (b, c; z) defined by (b, c; z):=z2F1(1, b; c; z) and the normalized confluent hypergeometric function [image omitted] are convex in . Conditions on a, b, and c for the convexity of z2F1(a, b; c; z) and z1F1(a; c; z) for a1 remains an open problem. |
| Citation: | Integral Transforms and Special Functions (2007), 18(7): 521-528 |
| URI: | https://doi.org/10.1080/10652460600871657 http://repository.iitr.ac.in/handle/123456789/10098 |
| Issue Date: | 2007 |
| Keywords: | Gaussian hypergeometric functions Incomplete beta functions |
| ISSN: | 10652469 |
| Author Scopus IDs: | 55209564300 |
| Author Affiliations: | Swaminathan, A., Department of Mathematics, India Institute of Technology, Roorkee, Uttarkhand 247667, India |
| Corresponding Author: | Swaminathan, A.; Department of Mathematics, India Institute of Technology, Roorkee, Uttarkhand 247667India; email: mathswami@yahoo.com |
| Appears in Collections: | Journal Publications [MA] |
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