On the extended connection coefficients between two orthogonal polynomial sequences

DOI10.1080/10652469.2015.1065829zbMath1331.33013OpenAlexW1774641132MaRDI QIDQ3448966

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Publication date: 3 November 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1065829

zbMATH Keywords

orthogonal polynomialssemi-classical polynomialsconnection problemsecond-order self-associated polynomials

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)

Related Items (2)

Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind

Cites Work

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• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• The \(D_ \omega\)-classical orthogonal polynomials
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• The \(H_q\)-classical orthogonal polynomials
• Connection problems via lowering operators
• Semi-classical character and finite-type relations between polynomial sequences
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation
• Connection coefficients between Boas--Buck polynomial sets
• The second-order self-associated orthogonal sequences
• Some perturbed sequences of order one of the Chebyshev polynomials of second kind
• Connection Coefficients of Orthogonal Polynomials
• Discrete semi-classical orthogonal polynominals
• A characterization of symmetricT_μ-classical monic orthogonal polynomials by a structure relation
• Another Characterization of the Classical Orthogonal Polynomials

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