Articles

A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS

  • J. Dziok
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  • Institute of Mathematics, University of Rzesz´ow ul. Rejtana 16A, PL-35-310 Rzesz´ow, Poland

Received date: 2009-07-30

  Online published: 2011-07-20

Abstract

In this paper we introduce new classes of analytic functions with fixed argu-ment of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of convexity and starlikeness are investigated. Convolution properties are also pointed out.

Cite this article

J. Dziok . A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1357 -1366 . DOI: 10.1016/S0252-9602(11)60322-6

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