Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme

DOI10.1007/978-1-4939-0258-3_24zbMath1323.33011OpenAlexW2282436801MaRDI QIDQ3193163

Chelo Ferreira, Ester Pérez Sinusía, José Luis López

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_24

zbMATH Keywords

Askey schemeWilson 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)

Cites Work

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

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