http://repository.iitr.ac.in/handle/123456789/10266| Title: | Geometric properties of generalized polylogarithm |
| Authors: | Mondal S.R. Swaminathan, Anbhu |
| Published in: | Integral Transforms and Special Functions |
| Abstract: | In this paper, the generalized polylogarithm p,q(a,b,z), which is a particular representation of generalized hypergeometric functions, is considered. Conditions on the parameters a, b, p and q are found such that the normalized form of these generalized polylogarithms has certain geometric properties such as close-to-convexity, starlikeness and convexity in the open unit disc D. Results for the Alexander transform of these generalized polylogarithm are also obtained. © 2010 Taylor & Francis. |
| Citation: | Integral Transforms and Special Functions (2010), 21(9): 691-701 |
| URI: | https://doi.org/10.1080/10652461003593328 http://repository.iitr.ac.in/handle/123456789/10266 |
| Issue Date: | 2010 |
| Keywords: | Close-to-convex functions Convex functions Generalized hypergeometric functions Integral transforms Polylogarithm Starlike functions |
| ISSN: | 10652469 |
| Author Scopus IDs: | 36242021000 55209564300 |
| Author Affiliations: | Mondal, S.R., Department of Mathematics, Indian Institute of Technology, Roorkee 247, 667, Uttarkhand, India Swaminathan, A., Department of Mathematics, Indian Institute of Technology, Roorkee 247, 667, Uttarkhand, India |
| Corresponding Author: | Swaminathan, A.; Department of Mathematics, Indian Institute of Technology, Roorkee 247, 667, Uttarkhand, India; email: swamifma@iitr.ernet.in |
| Appears in Collections: | Journal Publications [MA] |
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