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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

On Applications of Differential Subordination and Differential Operator

M. Darus and R. W. Ibrahim

Abstract

Problem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined.

Journal of Mathematics and Statistics
Volume 8 No. 1, 2012, 165-168

DOI: https://doi.org/10.3844/jmssp.2012.165.168

Submitted On: 4 June 2011 Published On: 1 March 2012

How to Cite: Darus, M. & Ibrahim, R. W. (2012). On Applications of Differential Subordination and Differential Operator . Journal of Mathematics and Statistics, 8(1), 165-168. https://doi.org/10.3844/jmssp.2012.165.168

Open AccessCopyright: © 2012 M. Darus and R. W. Ibrahim. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Differential operator
  • analytic functions
  • subordination
  • superordination