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The uniformisation of a twice-punctured disc

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Publication:1930685
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DOI10.1007/BF03321846zbMath1262.30037OpenAlexW1992591871MaRDI QIDQ1930685

Alan F. Beardon

Publication date: 11 January 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321846


zbMATH Keywords

hyperbolic geometryuniformisationelliptic integralsextremal length


Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Computational aspects of algebraic curves (14Q05)


Related Items

Generalized \(\alpha\)-attractor models from elementary hyperbolic surfaces ⋮ The determinant of the Lax-Phillips scattering operator ⋮ Uniformization of a once-punctured annulus



Cites Work

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  • Cylinders in Riemann surfaces
  • The collar theorem and examples
  • Elliptic functions and applications
  • Comparison of hyperbolic and extremal lengths
  • On the Uniformization of the n -Punctured Sphere
  • The Accessory Parameter Problem for the Uniformization of the Twice‐Punctured Disc
  • Hyperbolic Lengths of Geodesics Surrounding Two Punctures
  • Uniformisation of the twice–punctured disc - problems of confluence
  • Various domain constants related to uniform perfectness
  • A Proof of the Collar Lemma
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