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Vietnam Journal of Mathematics 36:1(2008)
39-46
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On the Fekete-Szegö Problem for Certain Subclasses
of Analytic Functions
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T. N. Shanmugam, S.
Kavitha, and S. Sivasubramanian
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Abstract. In this present investigation, the
authors obtain Fekete-Szegö's inequality for certain normalized analytic
functions f(z) defined on the open unit disk for which  ,
 .
<1 )$ lies in a region starlike with respect to $1$ 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-Szeg\"{o}'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-Szeg\"{o} inequalities obtained by Srivastava and Mishra.>
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2000 Mathematics Subject Classification: 30C45.
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Keywords: Analytic functions, Starlike functions,
subordination, Coefficient problem, Fekete-Szegö inequality.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013.
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