A1 Refereed original research article in a scientific journal

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



Authors: Anderson G, Sugawa T, Vamanamurthy M, Vuorinen M

Publication year: 2010

Journal: Mathematische Zeitschrift

Journal name in source: Mathematische Zeitschrift

Number in series: 1

Volume: 266

Issue: 1

First page : 181

Last page: 191

Number of pages: 11

ISSN: 0025-5874

DOI: https://doi.org/10.1007/s00209-009-0560-5

Web address : http://api.elsevier.com/content/abstract/scopus_id:77954538835


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. © Springer-Verlag 2009.



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