Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials

DOI10.1070/SM8768zbMath1408.30004arXiv1606.08047OpenAlexW2468507522MaRDI QIDQ4684232

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Publication date: 27 September 2018

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

Full work available at URL: https://arxiv.org/abs/1606.08047

zbMATH Keywords

multiple orthogonal polynomialsNikishin systemvector equilibrium problemHermite-Padé approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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 (6)

Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ On an example of the Nikishin system ⋮ Characteristic polynomials of random banded Hessenberg matrices and Hermite-Padé approximation ⋮ Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II ⋮ Multiple orthogonal polynomials: Pearson equations and Christoffel formulas

Cites Work

• Nikishin systems are perfect
• Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set
• Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials
• On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials
• The zeros of Faber polynomials for an \(m\)-cusped hypocycloid
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials
• High-order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• Hermite-Pade approximants for systems of Markov-type functions
• Mixed type multiple orthogonal polynomials for two Nikishin systems
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