52 citations · 52 across the 5 of their papers we have counts for
6 papers · 1 filter
Toeplitz Determinants From Compatibility Conditions
E. Basor, Y. Chen
In this paper we show, how a straightforward and natural application of a pair of fundamental identities valid for polynomials orthogonal over the unit circle, can be used to calcu…
Generalizations of Chebyshev Polynomials and Polynomial Mappings
Y. Chen, J. C. Griffin, M. E. H. Ismail
We show how polynomial mappings of degree k from a union of disjoint intervals onto [-1,1] generate a countable number of special cases of a certain generalization of the Chebyshev…
A Riemann-Hilbert Approach to the Akhiezer Polynomials
Y. Chen, A. Its
In this paper we study those polynomials orthogonal with respect to a particular weight over the union of disjoint intervals first introduced by N.I. Akhiezer, via a reformulation…
A Note on Wiener-Hopf Determinants and the Borodin-Okounkov Identity
Estelle Basor, Yang Chen
The continuous analogue of a Toeplitz determinant identity for Wiener-Hopf operators is proved. An example which arises from random matrix theory is studied and an error term for t…
Determinants of Hankel Matrices
Estelle L. Basor, Yang Chen, Harold Widom
The purpose of this paper is to compute asymptotically Hankel determinants for weights that are supported in a semi-infinite interval.The main idea is to reduce the problem to dete…
Small eigenvalues of large Hankel matrices:The indeterminate case
Christian Berg, Yang Chen, Mourad E. H. Ismail
In this paper we characterise the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given…