Global Asymptotics of the Meixner Polynomials

zbMath1252.33009arXiv1101.4370MaRDI QIDQ3108575

Xiang-Sheng Wang, Roderick Wong

Publication date: 4 January 2012

Full work available at URL: https://arxiv.org/abs/1101.4370

zbMATH Keywords

Meixner polynomialsAiry functionRiemann-Hilbert problemsglobal asymptotics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Riemann-Hilbert problems in context of PDEs (35Q15)

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Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials ⋮ Uniform asymptotics for the discrete Laguerre polynomials ⋮ Precise deviations for discrete ensembles ⋮ Six-vertex model with partial domain wall boundary conditions: Ferroelectric phase ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point ⋮ The Fourier extension method and discrete orthogonal polynomials on an arc of the circle

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