On the limit relations between classical continuous and discrete orthogonal polynomials

DOI10.1016/S0377-0427(98)00026-0zbMath0934.33013MaRDI QIDQ1298529

A. Zarzo, André Ronveaux, Eduardo Paciência Godoy, IvÁn Area

Publication date: 10 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

classical orthogonal polynomialsconnection problemslimit relations

Mathematics Subject Classification ID

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

Related Items (12)

Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme ⋮ Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials ⋮ Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ Asymptotic approximations between the hahn-type polynomials and Hermite, Laguerre and charlier polynomials ⋮ The Askey scheme as a four-manifold with corners ⋮ On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials ⋮ Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas ⋮ The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis ⋮ Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials ⋮ Transverse limits in the Askey tableau ⋮ Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials

Uses Software

• Mathematica

Cites Work

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• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Quasi-orthogonality and differential equations
• Classical orthogonal polynomials: A functional approach
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Generating new classes of orthogonal polynomials
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials

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