Subordination and Superordination Properties for Convolution Operator

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Basic Science, University of Bonab, Bonab, Iran.

Abstract

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Keywords

Volume 6, Issue 2 - Serial Number 2
November 2015
Pages 137-147
  • Receive Date: 26 November 2014
  • Revise Date: 01 June 2015
  • Accept Date: 12 June 2015