17 citations · 17 across the 5 of their papers we have counts for
5 papers
Irrationality proof of certain Lambert series using little q-Jacobi polynomials
Jonathan Coussement, Christophe Smet
We apply the Pade technique to find rational approximations to % \[h^{\pm}(q_1,q_2)=\sum_{k=1}^\infty\frac{\q_1^k}{1\pm \q_2^k}, 0<q_1,q_2<1, q_1\in\mathbb{Q}, q_2=1/p_2, p_2\in\ma…
Asymptotic zero distribution for a class of multiple orthogonal polynomials
E. Coussement, J. Coussement, W. Van Assche
We establish the asymptotic zero distribution for polynomials generated by a four-term recurrence relation with varying recurrence coefficients having a particular limiting behavio…
Gauusian quadrature for multiple orthogonal polynomials
Jonathan Coussement, Walter Van Assche
We study multiple orthogonal polynomials of type I and type II which have orthogonality conditions with respect to r measures. These polynomials are connected by their recurrence r…
Multiple Wilson and Jacobi-Pineiro polynomials
B. Beckermann, J. Coussement, W. Van Assche
We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a J…
Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
J. Coussement, A. B. J. Kuijlaars, W. Van Assche
We introduce a spectral transform for the finite relativistic Toda lattice (RTL) in generalized form. In the nonrelativistic case, Moser constructed a spectral transform from the s…