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math.CV2012
Some generalizations on the univalence of an integral operator and quasiconformal extensions
Murat Çağlar, Halit Orhan
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…
math.CV2012
Univalence Criteria and Quasiconformal Extensions
Murat Çağlar, Halit Orhan
In the present paper, we obtain a more general conditions for univalence of analytic functions in the open unit disk U. Also, we obtain a refinement to a quasiconformal extension c…