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arXiv · 1607.02098

Univalence and quasiconformal extension of an integral operator

S. Kanas·E. Deniz·H. Orhan
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Abstract

In this paper we give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker's method. Further, new univalence criteria and the significant relationships with other results are given. A number of known univalence conditions would follow upon specializing the parameters involved in our main results.

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S. Kanas, E. Deniz, H. Orhan. 2016-07-07. Univalence and quasiconformal extension of an integral operator. https://arxiv.org/abs/1607.02098

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