On the subordination and superordination of strongly starlike functions

Author:

Ebadian Ali1,Sokół Janusz2

Affiliation:

1. Department of Mathematics Payame Noor University I.R. of Iran (Islamic Republic of)

2. Department of Mathematics Institute of Mathematics University of Rzeszów ul. Rejtana 16A 35-310 Rzeszów Poland

Abstract

Abstract In this paper, we prove a general result that can be a sufficient condition for f to be in the some subclass of strongly starlike functions. Also, the related sandwich-type results are given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference8 articles.

1. Bulboacǎ, T.: Classes of first-order differential subordinantions, Demonstratio Math. 35 (2002), 287–392.

2. Bulboacǎ, T.: Differential Subordinantions and Superordinations. Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.

3. Miller, S. S.—Mocanu, P. T.: Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157–171.

4. Miller, S. S.—Mocanu, P. T.: Differential Subordinations, Theory and Applications. Series of Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker Inc., New York-Basel, 2000.

5. Miller, S. S.—Mocanu, P. T.: Subordinations of differential superordinations, Complex Var. Theory Appl. 48 (2003), 815–826.

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