Certain bounded functions of complex order

Authors

  • M. K. Aouf Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author
  • A. O. Mostafa Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author

Keywords:

Analytic functions, complex order, starlike functions, bounded functions

Subjects:

30C45

Abstract

In this paper we obtain sharp coefficient bounds for functions analytic inthe unit disc $U$ and belonging to the class $R(b,M)$, $b\neq 0$ is a complexnumber. Also, we maximize $| a_{3}-\mu a_{2}^{2}| $ over theclass $R(b,M)$ and obtain distortion theorem for functions in this class.

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Published

2010-04-15

Issue

Vol. 62 No. 2 (2010): Vol. 62, Issue 2

Section

Articles

License

Copyright (c) 2010 Authors retain copyright to their work.

Creative Commons License

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