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

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

Demonstratio Mathematica

2003

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.

Some univalence criteria

Blezu D., Pascu N. N.

Demonstratio Mathematica

2002

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.

On the univalence for integral operators

Blezu D., Raducanu D.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2000

z. 24 [181]

15-20

The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E. Cazacu, S. Moldovan and N.N. Pascu. In this sens we use an other univalence criterion which is based on the well-known Decker's criterion but is does't depend on \z\. For this reason these are easy used for practical applications.