Strong asymptotics of Jacobi-type kissing polynomials

DOI10.1080/10652469.2021.1923707zbMath1481.42034arXiv2101.04147OpenAlexW3173567080MaRDI QIDQ5154021

Ahmad Barhoumi

Publication date: 1 October 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04147

zbMATH Keywords

oscillatory functionRiemann-Hilbert analysisSzegö functionvarying orthogonality

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials
• A Gaussian quadrature rule for oscillatory integrals on a bounded interval
• Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval
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• Discrete Painlevé equations and their appearance in quantum gravity
• The isomonodromy approach to matrix models in 2D quantum gravity
• The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
• Supercritical regime for the kissing polynomials
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• Computing Highly Oscillatory Integrals

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