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A sufficient condition for univalency. (English) Zbl 1052.30501
Summary: In this note we obtain a sufficient condition for the analyticity and univalence of the function defined by an integral operator, which generalizes the result of the paper by E. Cazacu, S. Moldoveanu and N. Pascu [in: Proc. Commem. Sess. Simion Stoilow, Brasov/Rom. 1987, 9-14 (1988; Zbl 0667.30010)]. Also, we will give an example in which the univalence of a function can be established according to this new criterion.
MSC:
30C55 General theory of univalent and multivalent functions of one complex variable
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