On certain subclass of analytic functions defined by convolution

Authors

  • R. M. El-Ashwah Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt Author
  • M. K. Aouf Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Author
  • H. M. Zayed Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt Author

Keywords:

Univalent functions, subordination, Hadamard product, fractional calculus operators, integral means

Subjects:

30C45

Abstract

In this paper we use the principle of subordination between analyticfunctions and the convolution to introduce the class $\tilde S(f,g;A,B;\alpha,\beta)$.We obtain coefficient inequalities, distortion theorems, extreme points, radii of close to convexity,starlikeness and convexity for this class and modified Hadamard product ofseveral functions belonging to it. Also, we investigate several distortion inequalities involvingfractional calculus. Finally, we obtain integral means for functionsbelonging to this class.

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Published

2014-07-15

Issue

Vol. 66 No. 3 (2014): Vol. 66, Issue 3

Section

Articles

License

Copyright (c) 2014 Authors retain copyright to their work.

Creative Commons License

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