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Displaying similar documents to “On the characteristic properties of certain optimization problems in complex analysis”

On a radius problem concerning a class of close-to-convex functions

Richard Fournier (1995)

Banach Center Publications

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The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc | z | < 4 √ 2 - 5 . Krzyż [10] gave an example of a function f ( z ) = z + ∑ n = 2 ∞ a n z n , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f |...

Some Notes about a Class of Univalent Functions with Negative Coefficients

Pashkouleva, Donka (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45, 30C50 The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.

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.

On uniformly convex functions

A. W. Goodman (1991)

Annales Polonici Mathematici

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We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.