Special functions, integral equations and a Riemann-Hilbert problem

DOI10.1090/proc/13191zbMath1347.33041arXiv1603.05357OpenAlexW2299460197MaRDI QIDQ2817013

Yu-Qiu Zhao, Roderick Wong

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05357

zbMATH Keywords

Mittag-Leffler functionintegral equationFreud weight

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Interpolation in approximation theory (41A05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

Recent advances in asymptotic analysis ⋮ Weak and strong confinement in the Freud random matrix ensemble and gap probabilities ⋮ Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation

Uses Software

• DLMF

Cites Work

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• Some indetermining moment problems and Freud-like weights
• Exponential asymptotics of the Mittag-Leffler function
• Asymptotic Approximations of Integrals
• Stieltjes transforms and the Stokes phenomenon
• THE GENERALIZED GOODWIN–STATON INTEGRAL
• Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions
• Analytic Inequalities
• A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials
• Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions

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