4 papers
Computing marginal eigenvalue distributions for the Gaussian and Laguerre orthogonal ensembles
Peter J. Forrester, Santosh Kumar, Bo-Jian Shen
The Gaussian and Laguerre orthogonal ensembles are fundamental to random matrix theory, and the marginal eigenvalue distributions are basic observable quantities. Notwithstanding a…
-Pearson pair and moments in -deformed ensembles
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen +1
The generalisation of continuous orthogonal polynomial ensembles from random matrix theory to the -lattice setting is considered. We take up the task of initiating a systematic…
Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials
Bo-Jian Shen, Shi-Hao Li, Guo-Fu Yu
This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory of skew orthogonal polynomials. Due to different kinds of hypergeometric orthogonal polynomials underlying…
Matrix integral solutions to the related Leznov lattice equations
Bo-Jian Shen, Guo-Fu Yu
Matrix integrals used in random matrix theory for the study of eigenvalues of matrix ensembles have been shown to provide -functions for several hierarchies of integrable equat…