On calculation of generating functions of Chebyshev polynomials in several variables

We propose a new method of calculation of generating functions of Chebyshev polynomials in several variables associated with root systems of the simple Lie algebras. We obtain the generating functions of the polynomials in two variables corresponding to the Lie algebra C2 as an illustration.

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Bibliographic Details
Published in:Journal of mathematical physics 2015-06, Vol.56 (6), p.1
Main Authors: Damaskinsky, E V, Kulish, P P, Sokolov, M A
Format: Article
Language:English
Subjects:
Algebra
Chebyshev approximation
Functions (mathematics)
Lie groups
Markov analysis
Mathematical analysis
Mathematical functions
Physics
Polynomials
Variables
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Description
Summary:We propose a new method of calculation of generating functions of Chebyshev polynomials in several variables associated with root systems of the simple Lie algebras. We obtain the generating functions of the polynomials in two variables corresponding to the Lie algebra C2 as an illustration.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4922997