16 citations · 16 across the 3 of their papers we have counts for
4 papers · 1 filter
Addition Theorems Via Continued Fractions
Mourad E. H. Ismail, Jiang Zeng
We show connections between a special type of addition formulas and a theorem of Stieltjes and Rogers. We use different techniques to derive the desirable addition formulas. We app…
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…
Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle
Mourad E. H. Ismail, Nicholas S. Witte
We derive raising and lowering operators for orthogonal polynomials on the unit circle and find second order differential and -difference equations for these polynomials. A gene…
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…