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5. Univalence criterion for a certain general integral operator.

Author

Macarie, Vasile Marius

Subjects
INTEGRAL operators, OPERATOR theory, FUNCTIONAL analysis, COMPLEX variables, UNIVALENT functions
Abstract

In this paper we consider a general integral operator, the class of analytic functions defined in the open unit disk and two classes of univalent functions. By imposing supplementary conditions for these functions we determine sufficient univalence conditions for the considered general operator. Some particular results are also presented. [ABSTRACT FROM AUTHOR]

Published
2012

6. UNIVALENCE CRITERIONS FOR TWO ANALYTIC FUNCTIONS.

Author

Macarie, Vasile Marius and Breaz, Daniel

Subjects
*INTEGRAL operators, *ANALYTIC functions, *INTEGRAL transforms, *INTEGRAL equations, *MATHEMATICAL transformations
Abstract

In this paper we consider two general integral operators and the class of analytic functions defiined in the open unit disk. We extend some univalent conditions of Becker's type for analytic functions using general integral transforms. Some particular results are presented. [ABSTRACT FROM AUTHOR]

Published
2011

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