Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Nihat Yagmur; Halit Orhan

Displaying similar documents to “Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points”

Uniformly convex functions II

Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses $f^{- 1} (w) = w + d ₂ w ² + d ₃ w ³ + . . .$ . The series expansion for $f^{- 1} (w)$ converges when $| w | < ϱ_{f}$ , where $0 < ϱ_{f}$ depends on f. The sharp bounds on $| a_{n} |$ and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on $| a_{n} |$ and all extremal functions for...

Some subclasses of close-to-convex functions

Adam Lecko (1993)

Annales Polonici Mathematici

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For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes $C_{β} (α)$ defined as follows: a function f regular in U = z: |z| < 1 of the form $f (z) = z + \sum_{n = 1}^{\infty} a_{n} z^{n}$ , z ∈ U, belongs to the class $C_{β} (α)$ if $R e e^{i β} (1 - α ² z ²) f^{'} (z) < 0$ for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in $C_{β} (α)$ are examined.

Argument estimates of certain multivalent functions involving Dziok-Srivastava operator.

Shanmugam, T.N., Sivasubramanian, S., Owa, Shigeyoshi (2007)

General Mathematics

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Applications of Nunokawa's theorem.

Lashin, A.Y. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Inequalities in the complex plane.

Szász, Róbert (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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On potentially $H$ -graphic sequences

Meng Xiao Yin, Jian Hua Yin (2007)

Czechoslovak Mathematical Journal

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For given a graph $H$ , a graphic sequence $π = (d_{1}, d_{2}, ..., d_{n})$ is said to be potentially $H$ -graphic if there is a realization of $π$ containing $H$ as a subgraph. In this paper, we characterize the potentially $(K_{5} - e)$ -positive graphic sequences and give two simple necessary and sufficient conditions for a positive graphic sequence $π$ to be potentially $K_{5}$ -graphic, where $K_{r}$ is a complete graph on $r$ vertices and $K_{r} - e$ is a graph obtained from $K_{r}$ by deleting one edge. Moreover, we also give a simple necessary and sufficient condition...

A remark on supra-additive and supra-multiplicative operators on $C (X)$

Zafer Ercan (2007)

Mathematica Bohemica

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M. Radulescu proved the following result: Let $X$ be a compact Hausdorff topological space and $π C (X) \to C (X)$ a supra-additive and supra-multiplicative operator. Then $π$ is linear and multiplicative. We generalize this result to arbitrary topological spaces.

On potentially $K_{5} - H$ -graphic sequences

Lili Hu, Chunhui Lai, Ping Wang (2009)

Czechoslovak Mathematical Journal

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Let $K_{m} - H$ be the graph obtained from $K_{m}$ by removing the edges set $E (H)$ of $H$ where $H$ is a subgraph of $K_{m}$ . In this paper, we characterize the potentially $K_{5} - P_{4}$ and $K_{5} - Y_{4}$ -graphic sequences where $Y_{4}$ is a tree on 5 vertices and 3 leaves.