13 citations · 18 across the 3 of their papers we have counts for
3 papers
math.CA2013★ 13 cited
Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients
Lies Boelen, Walter Van Assche
We look at some extensions of the Stieltjes-Wigert weight functions. First we replace the variable x by x^2 in a family of weight functions given by Askey in 1989 and we show that…
math.CA2012★ 4 cited
The generalized Krawtchouk polynomials and the fifth Painlevé equation
Lies Boelen, Galina Filipuk, Christophe Smet +2
We study the recurrence coefficients of the orthogonal polynomials with respect to a semi-classical extension of the Krawtchouk weight. We derive a coupled discrete system for thes…
math.CA2008★ 1 cited
-Discrete Painlevé equations for recurrence coefficients of modified -Freud orthogonal polynomials
Lies Boelen, Christophe Smet, Walter Van Assche
We present an asymmetric -Painlevé equation. We will derive this using -orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will o…