Differential equations for the elementary 3-symmetric Chebyshev polynomials

DOI10.1007/s10958-013-1371-0zbMath1280.33007OpenAlexW2057215570MaRDI QIDQ378703

E. V. Damaskinskiĭ, Vadim V. Borzov

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1371-0

zbMATH Keywords

recurrence relationorthogonal polynomialJacobi matrixFuchsian linear differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• \(N\)-symmetric Chebyshev polynomials in a composite model of a generalized oscillator
• Compound model of the generalized oscillator. I
• Recurrence relations with periodic coefficients and Chebyshev polynomials