Displaying similar documents to “Differential subordinations and superordinations for analytic functions defined by the generalized Sălăgean derivative.”

An Application of the Subordination Chains

Irina Oros, Georgia (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45, 30A20, 34A30 The notion of differential superordination was introduced in [4] by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination [3] and was developed in [5]. The notion of strong differential subordination was introduced by J.A. Antonino and S. Romaguera in [1]. In [6] the author introduced the dual concept of strong differential superordination. In this paper we study strong differential superordination using the subordination chains. ...

A Note on Univalent Functions with Finitely many Coefficients

Darus, M., Ibrahim, R. (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.