THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES

DOI10.1142/S0219530510001606zbMath1200.42014OpenAlexW2157281525MaRDI QIDQ3580190

Roderick Wong, Chunhua Ou

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1142/s0219530510001606

zbMATH Keywords

Riemann-Hilbert problemAiry functiondiscrete orthogonal polynomialsCharlier polynomialsglobal 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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (12)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Global asymptotics of the Szegő–Askey polynomials ⋮ Uniform asymptotics for the discrete Laguerre polynomials ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ Asymptotics of the Charlier polynomials via difference equation methods ⋮ Asymptotics of Discrete Painlevé V transcendents via the Riemann–Hilbert Approach ⋮ GLOBAL ASYMPTOTICS OF THE HAHN POLYNOMIALS ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point ⋮ Asymptotics of Meixner polynomials and Christoffel–Darboux kernels ⋮ LINEAR DIFFERENCE EQUATIONS WITH A TRANSITION POINT AT THE ORIGIN

Cites Work

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