Displaying similar documents to “The classes of univalent functions connected with homographies”

On functions satisfying more than one equation of Schiffer type

J. Macura, J. Śladkowska (1993)

Annales Polonici Mathematici

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The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type ( D n -equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.

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.

Fekete-Szegö Inequality for Universally Prestarlike Functions

Shanmugam, T., Lourthu Mary, J. (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45 The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.