Transverse limits in the Askey tableau

DOI10.1016/S0377-0427(98)00167-8zbMath0936.33004OpenAlexW2047281071MaRDI QIDQ1298593

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

Publication date: 9 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00167-8

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsHermite polynomialsinversion problemLaguerre polynomialsMeixner polynomialsKrawtchouk polynomialsCharlier polynomialsHahn polynomialsconnection problemGram polynomialsAskey tableau

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 ⋮ Representations of \(q\)-orthogonal polynomials ⋮ Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices ⋮ Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials ⋮ Hitting time in Erlang loss systems with moving boundaries ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ The Askey scheme as a four-manifold with corners ⋮ Approximate Calculation of Sums II: Gaussian Type Quadrature ⋮ 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 ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

Uses Software

• Mathematica

Cites Work

• Asymptotic properties of Krawtchouk polynomials
• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• On the limit relations between classical continuous and discrete orthogonal polynomials
• 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
• The special functions and their approximations. Vol. I, II
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials
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