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J. Korean Math. Soc. 2011; 48(1): 179-189
Printed January 1, 2011
https://doi.org/10.4134/JKMS.2011.48.1.179
Copyright © The Korean Mathematical Society.
Some notes on extensions of basic univalence criteria
Erhan Den\.{i}z and Halit Orhan
Ataturk University, Ataturk University
The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk $U.$ The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.
Keywords: analytic functions, univalent function, univalence condition, Loewner chain
MSC numbers: 30C45
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