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

DOI10.1007/s00209-009-0560-5zbMath1204.30031arXiv0903.1761OpenAlexW2139766159MaRDI QIDQ993367

Glenn D. Anderson, Toshiyuki Sugawa, Matti Vuorinen, Mavina K. Vamanamurthy

Publication date: 10 September 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1761

zbMATH Keywords

hypergeometric functionsgeneralized complete elliptic integralshyperbolic metric with conical singularities

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Elliptic integrals as hypergeometric functions (33C75)

Related Items

Hypergeometric functions and hyperbolic metric, Geometric deduction of the solutions to modular equations, Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky, Bounded projective functions and hyperbolic metrics with isolated singularities

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