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Open Access Research

A general solution of the Fekete-Szegö problem

Jacek Dziok

Author Affiliations

Institute of Mathematics, University of Rzeszów, Rzeszów, 35-310, Poland

Boundary Value Problems 2013, 2013:98  doi:10.1186/1687-2770-2013-98

Published: 22 April 2013

Abstract

In the paper we introduce general classes of analytic functions defined by the Hadamard product. The Fekete-Szegö problem is completely solved in these classes of functions. Some consequences of the main results for new or well-known classes of functions are also pointed out.

MSC: 30C45, 30C50, 30C55.

Keywords:
analytic functions; Fekete-Szegö problem; subordination; Hadamard product