arXiv:1208.2569 Abstract | arXiv Analytics

arXiv:1208.2569 [math.CV]Abstract References Reviews Resources

Some generalizations on the univalence of an integral operator and quasiconformal extensions

Published 2012-08-13Version 1

By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator. Also, we refine the result to a quasiconformal extension criterion with the help of Beckers's method.

Comments: 12 pages, submitted to a journal for publication (19 April 2012)

Categories: math.CV

Subjects: 30C45

Keywords: integral operator, generalizations, univalence, quasiconformal extension criterion, beckerss method

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