Geometric properties of nonlinear integral transforms of certain analytic functions

Yong Chan Kim; S. Ponnusamy; Toshiyuki Sugawa

doi:10.3792/pjaa.80.57

Geometric properties of nonlinear integral transforms of certain analytic functions

Yong Chan Kim, S. Ponnusamy, Toshiyuki Sugawa

INF - Computer and Mathematical Sciences

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

11 Citations (Scopus)

Abstract

By using norm estimates of the pre-Schwarzian derivatives for certain analytic functions defined by a nonlinear integral transform, we shall give several interesting geometric properties of the integral transform.

Original language	English
Pages (from-to)	57-60
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	80
Issue number	5
DOIs	https://doi.org/10.3792/pjaa.80.57
Publication status	Published - 2004 May

Keywords

Integral transform
Pre-Schwarzian derivative
Univalent function

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title = "Geometric properties of nonlinear integral transforms of certain analytic functions",

abstract = "By using norm estimates of the pre-Schwarzian derivatives for certain analytic functions defined by a nonlinear integral transform, we shall give several interesting geometric properties of the integral transform.",

keywords = "Integral transform, Pre-Schwarzian derivative, Univalent function",

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T1 - Geometric properties of nonlinear integral transforms of certain analytic functions

AU - Kim, Yong Chan

AU - Ponnusamy, S.

AU - Sugawa, Toshiyuki

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N2 - By using norm estimates of the pre-Schwarzian derivatives for certain analytic functions defined by a nonlinear integral transform, we shall give several interesting geometric properties of the integral transform.

AB - By using norm estimates of the pre-Schwarzian derivatives for certain analytic functions defined by a nonlinear integral transform, we shall give several interesting geometric properties of the integral transform.

KW - Integral transform

KW - Pre-Schwarzian derivative

KW - Univalent function

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JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 5

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Geometric properties of nonlinear integral transforms of certain analytic functions

Abstract

Keywords

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