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

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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.
13 pages

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Complex Variables, Classical Analysis and ODEs, 30F45

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http://salesiana.dossiersoluciones.com/handle/123456789/223960

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.1761
 http://arxiv.org/abs/0903.1761

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arXiv