Moments of generalized Cauchy random matrices and continuous-Hahn polynomials

DOI10.1088/1361-6544/abfeaczbMath1467.60004arXiv2009.04752OpenAlexW3173975479MaRDI QIDQ4997339

Theodoros Assiotis, Benjamin Bedert, Arun Soor, Mustafa Güneş

Publication date: 29 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04752

zbMATH Keywords

random matriceshypergeometric orthogonal polynomialsgeneralized Cauchy ensemblemoments of random matricescontinuous-Hahn polynomials

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (7)

Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \)-ensemble ⋮ Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density ⋮ Freezing limits for beta-Cauchy ensembles ⋮ Relations between moments for the Jacobi and Cauchy random matrix ensembles ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain ⋮ Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble ⋮ \(q\)-Pearson pair and moments in \(q\)-deformed ensembles

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