Classes of admissible functions associated with certain integral operators applied to meromorphic functions

Document Type : Research Paper

Authors

1 Department of‎ ‎Mathematics‎, ‎Faculty of Science‎, ‎Fayoum University‎, ‎P.O‎. ‎Box 63514‎, ‎Fayoum‎, ‎Egypt

2 Department of‎ ‎Mathematics‎, ‎Faculty of Science‎, ‎Mansoura University‎, ‎P.O‎. ‎Box 35516‎, ‎Mansoura‎, ‎Egypt

Abstract

‎In the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of Miller and Mocanu‎, ‎ 
‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎
‎of functions associated with an integral operator hold‎. ‎Additionally‎, ‎differential sandwich-type result is obtained‎.

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Bulletin of the Iranian Mathematical Society
Volume 41, Issue 4 - Serial Number 4
August 2015
Pages 793-804

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History

  • Receive Date: 26 January 2014
  • Revise Date: 22 April 2014
  • Accept Date: 22 April 2014

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