Sufficient Univalence Conditions for Analytic Functions
© D. Breaz and N. Breaz 2007
Received: 30 October 2007
Accepted: 4 December 2007
Published: 6 February 2008
We consider a general integral operator and the class of analytic functions. We extend some univalent conditions of Becker's type for analytic functions using a general integral transform.
- Pescar V: A new generalization of Ahlfors's and Becker's criterion of univalence. Bulletin of the Malaysian Mathematical Society 1996,19(2):53–54.MathSciNetMATHGoogle Scholar
- Ozaki S, Nunokawa M: The Schwarzian derivative and univalent functions. Proceedings of the American Mathematical Society 1972,33(2):392–394. 10.1090/S0002-9939-1972-0299773-3MathSciNetView ArticleMATHGoogle Scholar
- Nehari Z: Conformal Mapping. McGraw-Hill, New York, NY, USA; 1952:viii+396.MATHGoogle Scholar
- Nehari Z: Conformal Mapping. Dover, New York, NY, USA; 1975:vii+396.Google Scholar
- Seenivasagan N, Breaz D: Certain sufficient conditions for univalence. to appear in General Mathematics to appear in General MathematicsGoogle Scholar
- Breaz D, Breaz N: The univalent conditions for an integral operator on the calsses and . Journal of Approximation Theory and Applications 2005,1(2):93–98.MathSciNetGoogle Scholar
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