Hankel determinants for a singular complex weight and the first and third Painlevé transcendents

DOI10.1016/j.jat.2016.01.006zbMath1339.33022arXiv1509.07015OpenAlexW2119471895MaRDI QIDQ259095

Yu-Qiu Zhao, Dan Dai, Shuai-Xia Xu

Publication date: 10 March 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07015

zbMATH Keywords

asymptoticsPainlevé III equationHankel determinantsPainlevé I equationRiemann-Hilbert approach

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (3)

Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants ⋮ The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight

Uses Software

• DLMF

Cites Work

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