Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1685-1694.doi: 10.1016/S0252-9602(13)60115-0

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PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS

Jacek DZIOK   

  1. Institute of Mathematics, University of Rzesz´ow, 35-310 Rzesz´ow, Poland
  • Received:2012-04-26 Revised:2012-11-09 Online:2013-11-20 Published:2013-11-20

Abstract:

In the paper we investigate convolution properties related to the prestarlike functions and various inclusion relationships between defined classes of functions. Interest-ing applications involving the well-known classes of functions defined by linear operators are also considered.

Key words: analytic functions, prestarlike functions, starlike functions, linear operator, convolution

CLC Number: 

  • 30C45
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