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The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations

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Publication:6600267
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DOI10.1134/s0040577924060035zbMath1547.15027MaRDI QIDQ6600267

Dan Wang

Publication date: 9 September 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)



zbMATH Keywords

asymptoticsHankel determinantPainlevé IV equationHeun equation


Mathematics Subject Classification ID

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) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Linear ordinary differential equations and systems in the complex domain (34M03)








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