Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight

DOI10.1088/0951-7715/19/10/001zbMath1129.34059arXivmath/0605201OpenAlexW3099608462MaRDI QIDQ3417571

Maurice Duits, Arno B. J. Kuijlaars

Publication date: 29 January 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605201

zbMATH Keywords

asymptoticsorthogonal polynomialsRiemann-Hilbert problemPainlevé transcendentthree-term recurrence

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Boundary value problems in the complex plane (30E25) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Painlevé-type functions (33E17)

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