The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface

DOI10.1070/SM9577zbMath1501.41002arXiv2104.08327OpenAlexW3206902378MaRDI QIDQ3391030

Aleksandr V. Komlov

Publication date: 28 March 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08327

zbMATH Keywords

Riemann surfacerational approximationHermite-Padé polynomialsweak asymptotics

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Approximation by polynomials (41A10)

Cites Work

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• On the \(\bar\partial\)-problem with \(L^2\)-estimates on a Riemann surface
• Asymptotics of diagonal Hermite-Padé polynomials
• Hermite-Padé approximants to functions meromorphic on a Riemann surface
• The convergence of Padé approximants to functions with branch points
• Potentials on a compact Riemann surface
• Mixed type Hermite-Padé approximants for a Nikishin system
• Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
• Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3
• Distribution of the zeros of Padé polynomials and analytic continuation
• Zero distribution for Angelesco Hermite–Padé polynomials
• Hermite-Padé approximants for meromorphic functions on a compact Riemann surface
• Polynomial Hermite Padé m-System and Reconstruction of the Values of Algebraic Functions
• Padé approximants, continued fractions, and orthogonal polynomials
• An Algorithm for Analytic Continuation

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