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

G. D. Anderson; Toshiyuki 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, Toshiyuki Sugawa, M. K. Vamanamurthy, M. Vuorinen

INF - Computer and Mathematical Sciences

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

2 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 Jan 1

Keywords

Conformal mapping
Generalized complete elliptic integrals
Hypergeometric functions

ASJC Scopus subject areas

Mathematics(all)

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