Orthogonal polynomials of several variables

摘要

This is Chapter 2 for Volume 2, entitled {\it Multivariable specialfunctions}, of the Askey-Bateman project. We provide an overview of the basicresults on orthogonal polynomials of several variables. After a shortintroduction on general properties, the main text concentrates on specificsystems of orthogonal polynomials in two and more variables that correspond to,or are generalizations of, classical orthogonal polynomials of one variable.