Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials

DOI10.1111/sapm.12387zbMath1487.35268arXiv2008.08724OpenAlexW3164229318MaRDI QIDQ5153936

Andrew F. Celsus, Ahmad Barhoumi, Alfredo Deaño

Publication date: 1 October 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08724

zbMATH Keywords

Riemann-Hilbert problemasymptotic analysisorthogonal polynomials in the complex planecontinuation in parameter space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems in the complex plane (30E25) Numerical quadrature and cubature formulas (65D32) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (1)

On the Riemann–Hilbert approach to asymptotics of tronquée solutions of Painlevé I

This page was built for publication: Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials