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Riemann--Hilbert Problems

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Publication:5217138
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zbMath1443.34097arXiv1903.08304MaRDI QIDQ5217138

Percy A. Deift

Publication date: 21 February 2020

Full work available at URL: https://arxiv.org/abs/1903.08304


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)


Related Items

Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities, Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation, On the spectral properties of the Hilbert transform operator on multi-intervals, Fredholm determinant representation of the homogeneous Painlevé II τ-function



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