Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach

DOI10.1007/s11425-010-4151-zzbMath1226.41015OpenAlexW1980176132MaRDI QIDQ547396

Shuai-Xia Xu, Yu-Qiu Zhao

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4151-z

zbMATH Keywords

orthogonal polynomialsHermite polynomialsAiry functionuniform asymptoticsRiemann-Hilbert approachresurgence relation

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 (1)

Special functions, integral equations and a Riemann-Hilbert problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of orthogonal polynomials via the Riemann-Hilbert approach
• Circular \(\beta \) ensembles, CMV representation, characteristic polynomials
• The isomonodromy approach to matrix models in 2D quantum gravity
• The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Global asymptotics of Hermite polynomials via Riemann-Hilbert approach
• Uniform asymptotics for Jacobi polynomials with varying large negative parameters— a Riemann-Hilbert approach
• Uniform asymptotics for orthogonal polynomials via the Riemann--Hilbert approach
• ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS
• Uniform asymptotics of the Pollaczek polynomials via the Riemann–Hilbert approach
• Hyperasymptotics for integrals with saddles
• Bessel-type asymptotic expansions via the Riemann–Hilbert approach

This page was built for publication: Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach