On an example of the Nikishin system

DOI10.1134/S0001434618110342zbMath1417.30032OpenAlexW2908151998WikidataQ128674011 ScholiaQ128674011MaRDI QIDQ668321

Sergey P. Suetin

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110342

zbMATH Keywords

Cauchy transformAngelesco systemBorel measureNikishin systemHermite-Padé polynomials

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximation in the complex plane (30E10) Padé approximation (41A21)

Related Items (4)

Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system

Cites Work

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• Hermite-Padé approximants for meromorphic functions on a compact Riemann surface
• Riemann-Hilbert analysis for a Nikishin system
• Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials
• Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system
• Convergence of ray sequences of Frobenius-Padé approximants
• On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions
• Mixed type multiple orthogonal polynomials for two Nikishin systems

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