Mixed orthogonality on the unit ball

DOI10.1007/s40314-021-01631-2zbMath1476.42020OpenAlexW3207891155MaRDI QIDQ2052322

Teresa E. Pérez, Cleonice F. Bracciali

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01631-2

zbMATH Keywords

bivariate orthogonal polynomialsthree term relationsFavard-type theoremmixed orthogonalitymultivariate orthogonal functions

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)

Cites Work

• Krall-type orthogonal polynomials in several variables
• A class of hypergeometric polynomials with zeros on the unit circle: extremal and orthogonal properties and quadrature formulas
• Three term relations for a class of bivariate orthogonal polynomials
• A class of orthogonal functions given by a three term recurrence formula
• Zeros of a family of hypergeometric para‐orthogonal polynomials on the unit circle
• Orthogonal Polynomials of Several Variables
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