On multivariate orthogonal polynomials and elementary symmetric functions

DOI10.1007/s11075-022-01434-4OpenAlexW4307834423MaRDI QIDQ2679657

Miguel A. Piñar, Cleonice F. Bracciali

Publication date: 23 January 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01434-4

zbMATH Keywords

symmetric polynomialselementary symmetric functionsmultivariate orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Numerical analysis (65-XX)

Cites Work

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• Multivariate Gaussian cubature formulae
• The Calogero-Sutherland model and generalized classical polynomials
• Orthogonal polynomials associated with root systems
• Polynomials. Translated from the second Russian edition by Dimitry Leites.
• Orthogonal polynomials in two variables
• An elementary approach to the hypergeometric shift operators of Opdam
• Explicit expressions for Sturm sequences
• Orthogonal Polynomials of Several Variables

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