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Complex versus real orthogonal polynomials of two variables
Authors:Yuan Xu
Affiliation:1. Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USAyuan@uoregon.edu
Abstract:
Orthogonal polynomials of two real variables can often be represented in complex variables. We explore the connection between the two types of representations and study the structural relations of complex orthogonal polynomials. The complex Hermite orthogonal polynomials and the disk polynomials are used as illustrating examples.
Keywords:complex orthogonal polynomials  orthogonal polynomials of two variables  several variables  complex Hermite  disk polynomials
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