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Volume 7, Issue 3, Article 117 |
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Fekete-Szegö Functional for some Subclass of Non-Bazilevic Functions
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Authors: |
T.N. Shanmugam, M.P. Jeyaraman, S. Sivasubramanian, |
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Keywords:
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Analytic functions, Starlike functions, Subordination, Coefficient problem, Fekete-Szegö inequality. |
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Date Received:
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18/11/05 |
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Date Accepted:
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24/03/06 |
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Subject Codes: |
Primary 30C45.
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Editors: |
Alexandru Lupas (1942-2007), |
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Abstract: |
In this present investigation, the authors obtain a sharp Fekete-Szegö's inequality for certain normalized analytic functions  defined on the open unit disk for which   lies in a region starlike with respect to  and is symmetric with respect to the real axis. Also, certain applications of our results for a class of functions defined by convolution are given. As a special case of this result, Fekete-Szegö's inequality for a class of functions defined through fractional derivatives is also obtained.
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