Multiple Hermite polynomials and simultaneous Gaussian quadrature

DOI10.1553/etna_vol50s182zbMath1406.33009arXiv1812.01446OpenAlexW2901989310WikidataQ128576236 ScholiaQ128576236MaRDI QIDQ1716859

Anton Vuerinckx, Walter Van Assche

Publication date: 5 February 2019

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01446

zbMATH Keywords

zero distributionmultiple Hermite polynomialsquadrature coefficientssimultaneous Gauss quadrature

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Christoffel functions for multiple orthogonal polynomials

Cites Work

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• Hermite--Padé approximation and simultaneous quadrature formulas
• Large \(n\) limit of Gaussian random matrices with external source. I
• On a class of Gauss-like quadrature rules
• Gaussian quadrature for multiple orthogonal polynomials
• Simultaneous Gaussian quadrature for Angelesco systems
• Orthogonal polynomials for exponential weights

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