Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials

DOI10.1080/10652460801936747zbMath1173.33005OpenAlexW2035818135MaRDI QIDQ3605077

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Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.1080/10652460801936747

zbMATH Keywords

recurrence relationslinear difference equationsexpansion coefficientsconnection coefficientsHahn, Meixner, Kravchuk and Charlier polynomials

Mathematics Subject Classification ID

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

Related Items (1)

Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials

Uses Software

• Mathematica

Cites Work

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• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
• Construction of recurrences for the coefficients of expansions in \(q\)-classical orthogonal polynomials
• Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials
• Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable
• Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials
• Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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