Inequalities involving a class of analytic functions

Authors

  • Rabha W. Ibrahim School of Mathematical Sciences, Faculty of Sciences and Technology, UKM, Malaysia Author

Keywords:

Univalent functions, Starlike functions, Convex functions, Differential subordination, Superordination, Unit disk, Starlike and convex functions of complex order, $\Phi$-like functions, Convexity techniques

Subjects:

30C99, 30C45

Abstract

In the present paper, we define a new classof normalized analytic functions based on the $\Phi$-like type. Someinequalities are introduced based on the concept of thesubordination in the unit disk. The convexity techniques are used toobtain the main result. Some applications are posed on classes offunctions such as starlike functions, convex functions, starlike andconvex functions of complex order.

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Published

2012-01-15

Issue

Vol. 64 No. 1 (2012): Vol. 64, Issue 1

Section

Articles

License

Copyright (c) 2012 Authors retain copyright to their work.

Creative Commons License

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