Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3

DOI10.1070/IM8420zbMath1361.30068MaRDI QIDQ2966728

D. N. Toulyakov, Alexander I. Aptekarev

Publication date: 8 March 2017

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

zbMATH Keywords

Riemann surfacesHermite-Padé approximantsalgebraic functionstrajectories of quadratic differentials

Mathematics Subject Classification ID

Padé approximation (41A21) Differentials on Riemann surfaces (30F30)

Related Items (4)

Hermite-Padé approximants for meromorphic functions on a compact Riemann surface ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface

Cites Work

• Asymptotics of diagonal Hermite-Padé polynomials
• Orthogonal polynomials with complex-valued weight function. I
• The structure of extremal domains associated with an analytic function

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