Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials

DOI10.1016/j.cam.2007.06.018zbMath1151.33007OpenAlexW2117930374WikidataQ126244797 ScholiaQ126244797MaRDI QIDQ929911

Ester Pérez Sinusía, Chelo Ferreira, José Luis López

Publication date: 19 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.018

zbMATH Keywords

asymptotic expansionAskey scheme of hypergeometric orthogonal polynomialslimits between polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10)

Related Items (7)

Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme ⋮ Unnamed Item ⋮ The Askey scheme as a four-manifold with corners ⋮ Approximate Calculation of Sums II: Gaussian Type Quadrature ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ Existence of a pair of new recurrence relations for the Meixner-Pollaczek polynomials ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

Cites Work

• Unnamed Item
• On the limit relations between classical continuous and discrete orthogonal polynomials
• Transverse limits in the Askey tableau
• Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials
• Approximations of orthogonal polynomials in terms of Hermite polynomials
• Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials
• Uniform asymptotic expansion of Charlier polynomials
• Uniform Asymptotic Expansions of Laguerre Polynomials
• The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis

This page was built for publication: Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials