Asymptotic approximations between the hahn-type polynomials and Hermite, Laguerre and charlier polynomials

DOI10.1007/s10440-008-9233-3zbMath1168.33309OpenAlexW2020931616MaRDI QIDQ959987

Pedro J. Pagola, Chelo Ferreira, José Luis López

Publication date: 16 December 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9233-3

zbMATH Keywords

HahnCharlier polynomialsLaguerrecontinuous dual Hahncontinuous Hahndual Hahn

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) Computation of special functions and constants, construction of tables (65D20) Approximation by polynomials (41A10) Real polynomials: location of zeros (26C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ The Askey scheme as a four-manifold with corners

Cites Work

• On the limit relations between classical continuous and discrete orthogonal polynomials
• Connection problems for polynomial solutions of nonhomogeneous differential and difference equations
• 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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