Generalized Christoffel–Darboux formula for classical skew-orthogonal polynomials

DOI10.1088/1751-8113/41/43/435204zbMath1155.15026arXiv0711.4432OpenAlexW1609120790MaRDI QIDQ3544811

Saugata Ghosh

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0711.4432

zbMATH Keywords

spectrumkernel functionseigenvalue correlationsgeneralized Christoffel-Darboux formulaeorthogonal and symplectic ensembles of random matricesskew-orthogonal functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52)

Related Items (2)

Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property ⋮ Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model

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