52 citations · 52 across the 5 of their papers we have counts for
8 papers
Orthogonal polynomials with discontinuous weights
Yang Chen, Gunnar Pruessner
In this paper we present a brief description of a ladder operator formalism applied to orthogonal polynomials with discontinuous weights. The two coefficient functions, A_n(z) and…
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…
The X-ray problem revisited
Estelle L. Basor, Yang Chen
In this letter we re-visit the X-ray problem. Assuming point interaction between the conduction electrons and the first instantaneously created core-hole, the latter's Green's func…
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…