数学物理学报(英文版) ›› 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
  • 收稿日期:2012-04-26 修回日期:2012-11-09 出版日期:2013-11-20 发布日期:2013-11-20

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

摘要:

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.

关键词: analytic functions, prestarlike functions, starlike functions, linear operator, convolution

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

中图分类号: 

  • 30C45