Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral
Complex Variables
2009-03-21 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.0903.1761,
title = {Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral},
author = {G. D. Anderson and T. Sugawa and M. K. Vamanamurthy and M. Vuorinen},
journal= {arXiv preprint arXiv:0903.1761},
year = {2009}
}
Comments
13 pages