Sufficient conditions for univalence obtained by using second order linear strong differential subordinations

Authors

GEORGIA IRINA OROS

DOI

10.3906/mat-0810-6

Abstract

The concept of differential subordination was introduced in [3] by S.S. Miller and P.T. Mocanu and the concept of strong differential subordination was introduced in [1], [2] by J.A. Antonino and S. Romaguera. In [5] we have studied the strong differential subordinations in the general case and in [6] we have studied the first order linear strong differential subordinations. In this paper we study the second order linear strong differential subordinations. Our results may be applied to deduce sufficient conditions for univalence in the unit disc, such as starlikeness, convexity, alpha-convexity, close-to-convexity respectively.

Keywords

Analytic function, differential subordination, strong differential subordination, linear strong differential subordinations, second order linear strong differential subordinations.

First Page

13

Last Page

20

Recommended Citation

OROS, GEORGIA IRINA (2010) "Sufficient conditions for univalence obtained by using second order linear strong differential subordinations," Turkish Journal of Mathematics: Vol. 34: No. 1, Article 2. https://doi.org/10.3906/mat-0810-6
Available at: https://journals.tubitak.gov.tr/math/vol34/iss1/2