GLOBAL ASYMPTOTICS OF STIELTJES–WIGERT POLYNOMIALS

DOI10.1142/S0219530513500280zbMath1279.41037arXiv1302.5193MaRDI QIDQ2855477

Yutian Li, Roderick Wong

Publication date: 25 October 2013

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

Full work available at URL: https://arxiv.org/abs/1302.5193

zbMATH Keywords

asymptotic formulasAiry functionStieltjes-Wigert polynomials\(q\)-Airy function

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 (5)

Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process ⋮ Polynomial solution of quantum Grassmann matrices ⋮ Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble

Uses Software

• DLMF

Cites Work

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• Uniform asymptotics of some \(q\)-orthogonal polynomials
• Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach
• The moment problem associated with the Stieltjes-Wigert polynomials
• Random matrix central limit theorems for nonintersecting random walks
• Chern-Simons matrix models and Stieltjes-Wigert polynomials
• ON A LIMITING RELATION BETWEEN RAMANUJAN'S ENTIRE FUNCTION Aq(z) AND  -FUNCTIONS

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