Orthogonal polynomials of several variables
Yuan Xu
TL;DR
This paper introduces the theory of orthogonal polynomials in multiple variables, providing foundational concepts and properties essential for multivariate analysis in special functions.
Contribution
It offers a comprehensive overview of multivariate orthogonal polynomials, including their definitions, properties, and significance in mathematical analysis.
Findings
Establishes basic properties of multivariate orthogonal polynomials
Provides foundational framework for further research in multivariate special functions
Summarizes key concepts in the theory of multivariate orthogonal polynomials
Abstract
Preliminary version of Chapter 2 in the book "Encyclopedia of Special functions: The Askey-Bateman Project, Vol. 2: Multivariate special functions", T. H. Koornwinder and J. V. Stokman (eds.), Cambridge University Press, 2021.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Advanced Combinatorial Mathematics