On the univalence of an integral operator

Authors

Keywords:

Analytic, Schwarz lemma, integral operator, univalence.

Abstract

In this paper we introduce a new general integral operator for analytic functions in the open unit disk and we derive some criteria for univalence of this integral operator.

Mathematics Subject Classification (2010): 30C45.

References

Becker, J., Lownersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math., 255(1972), 23-43.

Mayer, O., The Functions Theory of One Variable Complex, Bucuresti, 1981.

Nehari, Z., Conformal Mapping, Mc Graw-Hill Book Comp., New York, 1952 (Dover. Publ. Inc., 1975).

Pascu, N.N., An improvement of Becker's univalence criterion, Proceedings of the Commemorative Session Simion Stoilow, Brasov, (1987), 43-48.

STUDIA UBB MATHEMATICA, Volume 60 (LX), No. 4, December 2015

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Published

2015-12-30

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Volume 60, No. 4, December 2015

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Articles

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Copyright (c) 2015 Studia Universitatis Babeș-Bolyai Mathematica

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How to Cite

On the univalence of an integral operator. (2015). Studia Universitatis Babeș-Bolyai Mathematica, 60(4), 535-542. https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5829