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arXiv · 0903.1761

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

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

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G. D. Anderson, T. Sugawa, M. K. Vamanamurthy, M. Vuorinen. 2009-03-21. Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral. https://arxiv.org/abs/0903.1761

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