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Volume 6, Issue 3, Article 71 |
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On the Fekete-Szegö Problem for Some Subclasses of Analytic Functions
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Authors: |
T.N. Shanmugam, 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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12/05/05 |
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Date Accepted:
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24/05/05 |
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Subject Codes: |
Primary 30C45
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Editors: |
Saburou Saitoh, |
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Abstract: |
In this present investigation, the authors obtain 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 the main result 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 obtained. The Motivation of this paper is to give a generalization of the Fekete-Szegö inequalities obtained by Srivastava and Mishra .
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