General integral operator defined by Hadamard product

Authors

  • B. A. Frasin Department of Mathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan Author

Keywords:

Analytic and univalent functions, starlike and convex functions of complex order, Hadamard product, subordination, integral operator

Subjects:

30C45

Abstract

In this paper, we introduce a new general integral operator defined byHadamard product. Some properties involving this operator on a class offunctions of complex order are determined . Furthermore, we obtained newsufficient conditions for this operator to be univalent in the open unitdisc. Finally, we prove several subordination results involving starlike andconvex functions of complex order. Several corollaries and consequences ofthe main results are also considered.

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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.