4 citations · 4 across the 4 of their papers we have counts for
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math.CA2004
Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable Systems
P. J. Forrester, N. S. Witte
The theory of bi-orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials…
math.CA2002★ 4 cited
New Transformations for Painlevé's Third Transcendent
N. S. Witte
We present transformations relating the third transcendent of Painlevé with parameter sets located at the corners of the Weyl chamber for the symmetry group of the system, the affi…
math.CA2000
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…