Walter Van Assche

activity

19932019

most citedThe impact of Stieltjes' work on continued fractions and orthogonal polynomials

36 citations · 48 across the 4 of their papers we have counts for

collaborators

4 papers

math.CA2019★ 7 cited

Laguerre-Angelesco multiple orthogonal polynomials on an $r$ -star

Marjolein Leurs, Walter Van Assche

We investigate the type I and type II multiple orthogonal polynomials on an $r$ -star with weight function $∣ x ∣^{β} e^{- x^{r}}$ , with $β > - 1$ . Each measure $μ_{j}$ , for $1 \leq j \leq r$ , is…

math.CA2011★ 5 cited

Asymptotics for the ratio and the zeros of multiple Charlier polynomials

François Ndayiragije, Walter Van Assche

We investigate multiple Charlier polynomials and in particular we will use the (nearest neighbor) recurrence relation to find the asymptotic behavior of the ratio of two multiple C…

math.CA1995

Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton q-Bessel function

Erik Koelink, Walter Van Assche

Laurent polynomials related to the Hahn-Exton $q$ -Bessel function, which are $q$ -analogues of the Lommel polynomials, have been introduced by Koelink and Swarttouw. The explicit st…

math.CA1993★ 36 cited

The impact of Stieltjes' work on continued fractions and orthogonal polynomials