Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral

被引：5

作者：

Anderson, G. D. ^{[1
]}

Sugawa, T. ^{[2
]}

Vamanamurthy, M. K. ^{[3
]}

Vuorinen, M. ^{[4
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

[3] Univ Auckland, Dept Math, Auckland, New Zealand

[4] Univ Turku, Dept Math, Turku 20014, Finland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 266卷 / 01期

关键词：

Hypergeometric functions; Generalized complete elliptic integrals; Conformal mapping; PLANE DOMAINS; EQUATION; METRICS;

D O I：

10.1007/s00209-009-0560-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe, in terms of generalized elliptic integrals, the hyperbolic metric of the twice-punctured sphere with one conical singularity of prescribed order. We also give several monotonicity properties of the metric and a couple of applications.

引用

页码：181 / 191

页数：11

共 3 条

[1] Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral
G. D. Anderson
T. Sugawa
M. K. Vamanamurthy
M. Vuorinen
Mathematische Zeitschrift, 2010, 266 : 181 - 191
[2] On the number of nested twice-punctured tori in a hyperbolic knot exterior
Aranda, Roman
Ramirez-Losada, Enrique
Rodriguez-Viorato, Jesus
TOPOLOGY AND ITS APPLICATIONS, 2024, 351
[3] Generalized two-field α-attractor models from the hyperbolic triply-punctured sphere
Babalic, Elena Mirela
Lazaroiu, Calin Iuliu
NUCLEAR PHYSICS B, 2018, 937 : 434 - 477

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