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

G. D. Anderson; T. Sugawa; M. K. Vamanamurthy; M. Vuorinen

doi:10.1007/s00209-009-0560-5

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

G. D. Anderson, T. Sugawa, M. K. Vamanamurthy, M. Vuorinen

INF - Computer and Mathematical Sciences

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

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	181-191
Number of pages	11
Journal	Mathematische Zeitschrift
Volume	266
Issue number	1
DOIs	https://doi.org/10.1007/s00209-009-0560-5
Publication status	Published - 2010

Keywords

Conformal mapping
Generalized complete elliptic integrals
Hypergeometric functions

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-009-0560-5

Cite this

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title = "Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral",

abstract = "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.",

keywords = "Conformal mapping, Generalized complete elliptic integrals, Hypergeometric functions",

author = "Anderson, {G. D.} and T. Sugawa and Vamanamurthy, {M. K.} and M. Vuorinen",

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T1 - Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral

AU - Anderson, G. D.

AU - Sugawa, T.

AU - Vamanamurthy, M. K.

AU - Vuorinen, M.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Conformal mapping

KW - Generalized complete elliptic integrals

KW - Hypergeometric functions

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U2 - 10.1007/s00209-009-0560-5

DO - 10.1007/s00209-009-0560-5

M3 - Article

AN - SCOPUS:77954538835

VL - 266

SP - 181

EP - 191

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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