A general approach to the Fekete-Szegö problem

Jae Ho Choi; Yong Chan Kim; Toshiyuki Sugawa

doi:10.2969/jmsj/05930707

A general approach to the Fekete-Szegö problem

Jae Ho Choi, Yong Chan Kim, Toshiyuki Sugawa

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

Abstract

In this article, we provide a new method solving the Fekete-Szegö problem for classes of close-to-convex functions defined in terms of subordination. As an example, we apply it to the class of strongly close-to-convex functions.

Original language	English
Pages (from-to)	707-727
Number of pages	21
Journal	Journal of the Mathematical Society of Japan
Volume	59
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/05930707
Publication status	Published - 2007 Jul
Externally published	Yes

Keywords

Coefficient bound
Subordination
Univalent function

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/05930707

Cite this

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title = "A general approach to the Fekete-Szeg{\"o} problem",

abstract = "In this article, we provide a new method solving the Fekete-Szeg{\"o} problem for classes of close-to-convex functions defined in terms of subordination. As an example, we apply it to the class of strongly close-to-convex functions.",

keywords = "Coefficient bound, Subordination, Univalent function",

author = "Choi, {Jae Ho} and Kim, {Yong Chan} and Toshiyuki Sugawa",

year = "2007",

month = jul,

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AU - Kim, Yong Chan

AU - Sugawa, Toshiyuki

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N2 - In this article, we provide a new method solving the Fekete-Szegö problem for classes of close-to-convex functions defined in terms of subordination. As an example, we apply it to the class of strongly close-to-convex functions.

AB - In this article, we provide a new method solving the Fekete-Szegö problem for classes of close-to-convex functions defined in terms of subordination. As an example, we apply it to the class of strongly close-to-convex functions.

KW - Coefficient bound

KW - Subordination

KW - Univalent function

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JF - Journal of the Mathematical Society of Japan

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A general approach to the Fekete-Szegö problem

Abstract

Keywords

ASJC Scopus subject areas

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