W. Van Assche

activity

19932026

most citedSome classical multiple orthogonal polynomials

145 citations · 843 across the 63 of their papers we have counts for

collaborators

Showing 2008 · math.CAShow all

2 papers · 2 filters

math.CA2008★ 5 cited

Irrationality proof of a $q$ -extension of $ζ (2)$ using little $q$ -Jacobi polynomials

Christophe Smet, Walter Van Assche

We show how one can use Hermite-Padé approximation and little $q$ -Jacobi polynomials to construct rational approximants for $ζ_{q} (2)$ . These numbers are $q$ -analogues of the well kn…

math.CA2008★ 1 cited

$q$ -Discrete Painlevé equations for recurrence coefficients of modified $q$ -Freud orthogonal polynomials

Lies Boelen, Christophe Smet, Walter Van Assche

We present an asymmetric $q$ -Painlevé equation. We will derive this using $q$ -orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will o…

Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials

q-Discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials

Irrationality proof of a $q$ -extension of $ζ (2)$ using little $q$ -Jacobi polynomials

$q$ -Discrete Painlevé equations for recurrence coefficients of modified $q$ -Freud orthogonal polynomials