Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 41, Issue 4 - Serial Number 4
August 2015
Pages 793-804

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