Subordination and Superordination Properties for Convolution Operator

Document Type: Research Paper


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


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.