ESTIMATES OF THE HYPERBOLIC METRIC ON THE TWICE PUNCTURED PLANE

被引：1

作者：

Kim, Seong-A ^{[1
]}

Ma, Jinxi ^{[2
]}

Ma, William ^{[3
]}

机构：

[1] Dongguk Univ, Dept Math Educ, Gyeongju 780714, South Korea

[2] Beihang Univ, Dept Math, Beijing 100083, Peoples R China

[3] Penn Coll Technol, Sch Sci Humanities & Visual Commun, Williamsport, PA 17701 USA

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期

关键词：

Hyperbolic metric; Landau's Theorem;

D O I：

10.5186/aasfm.2015.4058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide various estimates of the hyperbolic metric on the twice punctured plane C\{0, 1} and apply them to improve Landau's Theorem. We also improve Ahlfors' upper bound for the hyperbolic metric on the twice punctured plane C\{0, 1}.

引用

页码：875 / 887

页数：13

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