On the inner radius of univalency by pre-Schwarzian derivative

Tao Cheng; Ji Xiu Chen

doi:10.1007/s11425-007-0049-9

On the inner radius of univalency by pre-Schwarzian derivative

Tao Cheng^*
, Ji Xiu Chen

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.

Original language	English
Pages (from-to)	987-996
Number of pages	10
Journal	Science in China, Series A: Mathematics
Volume	50
Issue number	7
DOIs	https://doi.org/10.1007/s11425-007-0049-9
State	Published - Jul 2007
Externally published	Yes

Keywords

Inner radius of univalency
Pre-Schwarzian derivative
Universal Teichmuller space

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10.1007/s11425-007-0049-9

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title = "On the inner radius of univalency by pre-Schwarzian derivative",

abstract = "In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.",

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author = "Tao Cheng and Chen, \{Ji Xiu\}",

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AU - Cheng, Tao

AU - Chen, Ji Xiu

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N2 - In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.

AB - In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.

KW - Inner radius of univalency

KW - Pre-Schwarzian derivative

KW - Universal Teichmuller space

UR - https://www.scopus.com/pages/publications/34547300520

U2 - 10.1007/s11425-007-0049-9

DO - 10.1007/s11425-007-0049-9

M3 - 文章

AN - SCOPUS:34547300520

SN - 1006-9283

VL - 50

SP - 987

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JO - Science in China, Series A: Mathematics

JF - Science in China, Series A: Mathematics

IS - 7

ER -

On the inner radius of univalency by pre-Schwarzian derivative

Abstract

Keywords

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