Multivariate Chebyshev polynomials in terms of singular elements

DOI10.1007/s11232-013-0066-5zbMath1432.33009OpenAlexW1996464091MaRDI QIDQ2449500

Vladimir D. Lyakhovskiĭ

Publication date: 8 May 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0066-5

zbMATH Keywords

Weyl grouprepresentation theorysemisimple Lie algebrageneralized Chebyshev polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Root systems (17B22)

Related Items (5)

Generating functions of Chebyshev polynomials in three variables ⋮ The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator ⋮ The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\) ⋮ Numerical constructions involving Chebyshev polynomials ⋮ On calculation of generating functions of Chebyshev polynomials in several variables

Cites Work

• Cluster multiplication in regular components via generalized Chebyshev polynomials.
• Chebyshev-Koornwinder oscillator
• Orthogonal polynomials of compact simple Lie groups: branching rules for polynomials
• Multivariate Chebyshev polynomials
• Unnamed Item

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