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Multi-dimensional generalizations of the Chebyshev polynomials. I

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Publication:1148434
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DOI10.3792/pjaa.56.154zbMath0452.33013OpenAlexW4235071146MaRDI QIDQ1148434

Ken Dunn, Rudolf Lidl

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.154


zbMATH Keywords

generating functionsChebyshev polynomials of the first and second kinds


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)


Related Items (9)

Computing the moments of the density of zeros for orthogonal polynomials ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ A class of orthogonal polynomials in \(k\) variables ⋮ Unnamed Item ⋮ Around a multivariate Schmidt-Spitzer theorem ⋮ Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator ⋮ Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables ⋮ Newton sum rules of polynomials defined by a three-term recurrence relation ⋮ Orthogonal polynomials of compact simple Lie groups




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