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Volume 10, Issue 3, Article 71 |
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Coefficient Bounds for Meromorphic Starlike and Convex Functions
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Authors: |
See Keong Lee, V. Ravichandran, Supramaniam Shamani, |
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Keywords:
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Univalent meromorphic functions; starlike function, convex function, Fekete-Szegö inequality. |
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Date Received:
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30/01/2008 |
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Date Accepted:
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03/05/2009 |
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Subject Codes: |
Primary 30C45, Secondary 30C80.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper, some subclasses of meromorphic univalent functions in the unit disk are extended. Let denote the class of normalized univalent meromorphic functions in with a simple pole at . Let be a function with positive real part on with , which maps onto a region starlike with respect to which is symmetric with respect to the real axis. The class consists of functions satisfying The class consists of functions satisfying The bounds for and some initial coefficients of in and are obtained.
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