Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation
DOI10.1088/1751-8121/ad04a6arXiv2305.18833OpenAlexW4387734910MaRDI QIDQ6086630
Publication date: 10 November 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.18833
orthogonal polynomialsHankel determinantPainlevé equationsladder operatorsGaussian unitary ensembles
Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) 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) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17)
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