Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach

DOI10.1016/j.jat.2016.04.002zbMath1380.41010OpenAlexW2345210707MaRDI QIDQ290578

Yu Lin, Xiao-Bo Wu, Yu-Qiu Zhao, Shuai-Xia Xu

Publication date: 3 June 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2016.04.002

zbMATH Keywords

Airy functiondiscrete orthogonal polynomialsuniform asymptoticsRiemann-Hilbert approachLagrange Multipliersieved Pollaczek 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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Expansions and characterizations of sieved random walk polynomials

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