Computation of conformal representations of compact Riemann surfaces

DOI10.1090/S0025-5718-09-02265-0zbMath1196.30041arXiv0903.0508OpenAlexW3102333673MaRDI QIDQ3584781

Dmitry V. Yakubovich, Domingo Pestana, José M. Rodríguez, Guillermo López Lagomasino

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0508

zbMATH Keywords

orthogonal polynomialsbranched coveringnonlinear equationscompact Riemann surfacesNewtonian continuation method

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30) Implicit function theorems; global Newton methods on manifolds (58C15) Riemann surfaces (30F99)

Related Items (6)

Minimal degree rational open up mappings and related questions ⋮ Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ A canonical family of multiple orthogonal polynomials for Nikishin systems ⋮ Hyperelliptic uniformization of algebraic curves of the third order ⋮ Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure

Cites Work

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• Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II
• On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
• Orthogonal polynomials
• On Rakhmanov’s theorem for Jacobi matrices
• Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems

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