Paper Title:

Fekete-Szegö Inequality for Certain Class of Analytic Functions

Author(s):

V. Ravichandran, Maslina Darus, M. Hussain Khan, and  K. G. Subramanian

School of Mathematical Sciences, Universiti Sains Malaysia,
11800 Usm, Penang, Malaysia
vravi@cs.usm.my

School of Mathematical Sciences, Faculty of Sciences and Technology,
Ukm, Banki 43600, Malaysia
maslina@pkrisc.cc.ukm.my

Department of Mathematics, Islamiah College,
Vaniambadi 635 751, India

Department of Mathematics, Madras Christian College, Tambaram,
Chennai- 600 059, India
kgsmani@vsnl.net

Abstract:

In this present investigation, the authors obtain Fekete-Szegö inequality for a certain class of analytic functions f(z) for which lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of our main result for a class of functions defined by Hadamard product (convolution) is given. As a special case of our result we obtain Fekete-Szegö inequality for a class of functions defined through fractional derivatives. Also we obtain Fekete-Szegö inequality for the inverse functions.

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