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 |
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Pages (from-to) | 181-191 |
Number of pages | 11 |
Journal | Mathematische Zeitschrift |
Volume | 266 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2010 |
Keywords
- Conformal mapping
- Generalized complete elliptic integrals
- Hypergeometric functions
ASJC Scopus subject areas
- Mathematics(all)