8 citations · 9 across the 4 of their papers we have counts for
4 papers
Ultraspherical moments on a set of disjoint intervals
Hashem AlSabi, James Griffin
Moment evaluations are important for the study of non-classical orthogonal polynomial systems for which explicit representations are not known. In this paper we compute, in terms o…
Continuous and discrete Painleve equations arising from the gap probability distribution of the finite Gaussian Unitary Ensembles
Man Cao, Yang Chen, James Griffin
In this paper we study the gap probability problem in the Gaussian Unitary Ensembles of by matrices : The probability that the interval is free of eigenvalues…
Non linear difference equations arising from a deformation of the q-Laguerre weight
Y. Chen, J. Griffin
We study, in this paper, a one parameter deformation of the Laguerre weight function. An investigation is made on the polynomials orthogonal with respect to such a weight. With…
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…