Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

DOI10.1142/S0219530515500177zbMath1347.41042arXiv1410.3948OpenAlexW2120994627MaRDI QIDQ2816967

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

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1410.3948

zbMATH Keywords

Airy functionuniform asymptoticsRiemann-Hilbert methodTricomi-Carlitz 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)

Related Items (2)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Uniform asymptotics for the discrete Laguerre polynomials

Uses Software

• DLMF

Cites Work

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