Displaying similar documents to “On a class of univalent functions.”

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. ...

Starlikeness of functions satisfying a differential inequality

Rosihan M. Ali, S. Ponnusamy, Vikramaditya Singh (1995)

Annales Polonici Mathematici

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In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| < 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.