Perturbed Hankel determinants

DOI10.1088/0305-4470/38/47/004zbMath1086.15505arXivmath-ph/0509043OpenAlexW3100510722MaRDI QIDQ5714946

Yang Chen, Estelle L. Basor

Publication date: 16 December 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0509043

zbMATH Keywords

perturbationHankel determinantHankel matrixasymptotic formulaJacobi weight

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions ⋮ The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant ⋮ Fluctuations of eigenvalues and second order Poincaré inequalities ⋮ Painlevé VI and the Unitary Jacobi Ensembles ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Asymptotic linear spectral statistics for spiked Hermitian random matrices ⋮ Asymptotics of determinants of Hankel matrices via non-linear difference equations ⋮ Exact equivalences and phase discrepancies between random matrix ensembles ⋮ Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis ⋮ Hypergeometric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models

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