The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 1, 2010, pp.37-47
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.1.037

Title & Authors

The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

Deniz, Erhan; Orhan, Halit;

Deniz, Erhan; Orhan, Halit;

Abstract

In this present work, the authors obtain Fekete-Szeg inequality for certain normalized analytic function f(z) defined on the open unit disk for which ) 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 Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szeg inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator .

Keywords

Fekete-Szeg problem;Analytic functions;Hadamard product;Starlike functions;

Language

English

Cited by

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