Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system

DOI10.1070/RM9819zbMath1408.30038OpenAlexW2804422653MaRDI QIDQ4684244

Sergey P. Suetin

Publication date: 27 September 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9819

zbMATH Keywords

potentialHermite-Padé polynomialsminimizing measuredouble energy of a measure

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (4)

Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ On an example of the Nikishin system ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system

Cites Work

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• On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
• Asymptotics of Hermite-Padé approximants for two functions with branch points
• Convergence of Shafer quadratic approximants
• The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions
• Zero distribution of Hermite-Padé polynomials and localization of branch points of multivalued analytic functions
• Distribution of the zeros of Padé polynomials and analytic continuation
• Convergence of ray sequences of Frobenius-Padé approximants

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