On sandwich theorems for some subclasses of analytic functions involving extended multiplier transformations

Authors

  • M. K. Aouf Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author
  • A. Shamandy Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author
  • R. M. El-Ashwah Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author
  • E. E. Ali Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author

Keywords:

Multiplier transformations, differential subordination, superordination

Subjects:

30C45

Abstract

In this paper we derive some subordination and superordination results forcertain normalized analytic functions in the open unit disc, which are actedupon by a class of extended multiplier transformations. Relevant connectionsof the results, which are presented in this paper, with various knownresults are also considered.

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Published

2011-07-15

Issue

Vol. 63 No. 3 (2011): Vol. 63, Issue 3

Section

Articles

License

Copyright (c) 2011 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.