Hermite-Padé approximants to the Weyl function and its derivative for discrete measures

DOI10.1070/SM8634zbMath1458.41007OpenAlexW3036629047MaRDI QIDQ5149927

Vladimir N. Sorokin

Publication date: 9 February 2021

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

Full work available at URL: https://doi.org/10.1070/sm8634

zbMATH Keywords

Riemann surfacesMeixner polynomialsalgebraic functionsequilibrium problems in logarithmic potential theory

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21)

Related Items (8)

Analogs of Schmidt's formula for polyorthogonal polynomials of the first type ⋮ Multipoint Padé approximation of the psi function ⋮ Two examples related to properties of discrete measures ⋮ Polyorthogonalization in pre-Hilbert spaces ⋮ On polynomials defined by the discrete Rodrigues formula ⋮ Some algebraic properties of Hermite-Padé polynomials ⋮ Recurrence Legendre polynomials ⋮ Interpolation properties of Hermite–Padé polynomials

Cites Work

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• Multipoint Hermite-Padé approximations for beta functions
• Variation of the equilibrium energy and theS-property of stationary compact sets
• On multiple orthogonal polynomials for discrete Meixner measures
• On the equilibrium problem for vector potentials
• Generalized Pollaczek polynomials
• Padé-Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the $ S$-property of stationary compact sets

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