http://repository.iitr.ac.in/handle/123456789/10265| Title: | Geometric properties of generalized Bessel functions |
| Authors: | Mondal S.R. Swaminathan, Anbhu |
| Published in: | Bulletin of the Malaysian Mathematical Sciences Society |
| Abstract: | In this work, the generalized Bessel functions with their normalization are considered. Various conditions are obtained so that these Bessel functions have certain geometric properties including close-to-convexity (univalency), starlikeness and convexity in the unit disc. Results obtained for certain classes are new and for the other classes for which similar results exist in the literature, examples are given to support that these results are better than the existing ones. © 2010 Mathematics Subject Classification: 30C45, 33C10, 33C20. |
| Citation: | Bulletin of the Malaysian Mathematical Sciences Society (2012), 35(1): 179-194 |
| URI: | http://repository.iitr.ac.in/handle/123456789/10265 |
| Issue Date: | 2012 |
| Keywords: | Bessel functions Convex functions Hypergeometric functions Starlike functions Univalent functions |
| ISSN: | 1266705 |
| Author Scopus IDs: | 36242021000 55209564300 |
| Author Affiliations: | Mondal, S.R., School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia Swaminathan, A., Department of Mathematics, Indian Institute of Technology, Roorkee 247 667 Uttarkhand, India |
| Corresponding Author: | Mondal, S. R.; School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia; email: saiful786@gmail.com |
| Appears in Collections: | Journal Publications [MA] |
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