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arxiv: 1208.2569 · v1 · pith:HXI4YXK3new · submitted 2012-08-13 · 🧮 math.CV

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

classification 🧮 math.CV
keywords integralmethodoperatorquasiconformalsomeanalyticitybeckerschains
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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.

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