Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (4): 1357-1366.doi: 10.1016/S0252-9602(11)60322-6

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A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS

 J. Dziok   

  1. Institute of Mathematics, University of Rzesz´ow ul. Rejtana 16A, PL-35-310 Rzesz´ow, Poland
  • Received:2009-07-30 Online:2011-07-20 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.

Key words: analytic functions, fixed argument, subordination, Hadamard product

CLC Number: 

  • 30C45
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