1993•SIAM Journal on Mathematical AnalysisRequires access

On Multivariate Orthogonal Polynomials

Yuan Xu

Open publisher page 96 citations

Abstract

Orthogonal polynomials in several variables are studied. The results include a newformulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.

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What this paper is about

Orthogonal polynomials in several variables are studied. The results include a newformulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.

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OpenAlex reports 96 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Orthogonal polynomials in several variables are studied. The results include a newformulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.

Key concepts: Mathematics, Orthogonal polynomials, Orthogonality, Discrete orthogonal polynomials, Wilson polynomials, Classical orthogonal polynomials, Kernel (algebra), Pure mathematics

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