On two sequences of orthogonal polynomials related to Jordan blocks

DOI10.1007/s00009-013-0283-zzbMath1279.33014OpenAlexW1978345277MaRDI QIDQ382044

Paolo Maroscia, Stefano Capparelli

Publication date: 18 November 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0283-z

zbMATH Keywords

Catalan numberChebyshev polynomialorthogonal polynomialsingular value

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

Heat flow, heat content and the isoparametric property ⋮ Eigenpairs of a family of tridiagonal matrices: three decades later ⋮ Widened derangements and generalized Laguerre polynomials ⋮ Some results on a class of polynomials related to convolutions of the Catalan sequence ⋮ Root power sums and Chebyshev polynomials ⋮ On tridiagonal matrices associated with Jordan blocks

Cites Work

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• Factorization properties of Chebyshev polynomials
• Catalan numbers, their generalization, and their uses
• Polynômes orthogonaux formels - applications
• On the span of polynomials with integer coefficients
• Fibonacci, Chebyshev, and Orthogonal Polynomials
• Algebraic Equations with Span Less than 4

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