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), b0 is a complexnumber. Also, we maximize |a3μa22| over theclass R(b,M) and obtain distortion theorem for functions in this class.

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Published

2010-04-15