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Some univalence criteria

100%

Blezu D. , Pascu N. N.

Demonstratio Mathematica

2002

tom Vol. 35, nr 1

31-34

In the first part of this paper we give a new univalence criterion for the regular functions defined in the unit disk U by means of the well known Becker's criterion. [1]. Using this criterion, in second part we can find univalence for two integral operators which improve similar results given by Y. J. Kim, E. P. Merkes and J. Pfalzgraff.

Integral operator which preserves the univalence in the upper half-plane

80%

Blezu D. , Pascu N. N. , Pascu R. N.

Demonstratio Mathematica

2003

tom Vol. 36, nr 1

77--81

In this paper, using the Pfaltzgraff integral operator and the so called "parametric circles method" introduced by N. N.Pascu (1999), we can obtain an univalence criterion for the analytic function denned in the upper half-plane and also for comparison two univalence criteria obtained by a simple composition of functions.