On the univalence of an integral operator
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.
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