Complex versus real orthogonal polynomials of two variables

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...

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Vydáno v:Integral transforms and special functions Ročník 26; číslo 2; s. 134 - 151
Hlavní autor: Xu, Yuan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 01.02.2015
Taylor & Francis Ltd
Témata:
complex Hermite
complex orthogonal polynomials
Complex variables
disk polynomials
Disks
Functions (mathematics)
Hermite polynomials
Joints
Mathematical analysis
orthogonal polynomials of two variables
Polynomials
Representations
several variables
ISSN:1065-2469, 1476-8291
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Shrnutí: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.
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ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2014.973196