GLOBAL ASYMPTOTICS OF THE HAHN POLYNOMIALS

DOI10.1142/S0219530513500188zbMath1267.33008arXiv1210.2359OpenAlexW2100918096MaRDI QIDQ4923173

Yu Lin, Roderick Wong

Publication date: 5 June 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2359

zbMATH Keywords

Airy functionRiemann-Hilbert problemsHahn polynomialsglobal asymptotics

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Uniform asymptotics for the discrete Laguerre polynomials ⋮ Asymptotics of the Discrete Chebyshev Polynomials ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

Uses Software

• DLMF

Cites Work

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• Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
• ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS
• THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES

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