53 citations · 65 across the 3 of their papers we have counts for
3 papers
Orthogonal polynomials with periodic recurrence coefficients
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
In this paper, we study a class of orthogonal polynomials defined by a three-term recurrence relation with periodic coefficients. We derive explicit formulas for the generating fun…
Some Orthogonal Polynomials Arising from Coherent States
S. Twareque Ali, Mourad E. H. Ismail
We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the qu…
Three routes to the exact asymptotics for the one-dimensional quantum walk
Hilary A. Carteret, Mourad E. H. Ismail, Bruce Richmond
We demonstrate an alternative method for calculating the asymptotic behaviour of the discrete one-coin quantum walk on the infinite line, via the Jacobi polynomials that arise in t…