4 citations · 4 across the 9 of their papers we have counts for
9 papers
Bilinear generating functions for orthogonal polynomials
H. T. Koelink, J. Van der Jeugt
Using realisations of the positive discrete series representations of the Lie algebra su(1,1) in terms of Meixner-Pollaczek polynomials, the action of su(1,1) on Poisson kernels of…
Convolutions for orthogonal polynomials from Lie and quantum algebra representations
H. T. Koelink, J. Van der Jeugt
The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and…
q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B
H. T. Koelink
The generic Hecke algebra for the hyperoctahedral group, i.e. the Weyl group of type B, contains the generic Hecke algebra for the symmetric group, i.e. the Weyl group of type A, a…
Addition formulas for q-special functions
Erik Koelink
A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum group theoretic interpretation. This formula contains most of…
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 -Bessel function, which are -analogues of the Lommel polynomials, have been introduced by Koelink and Swarttouw. The explicit st…
Spectral analysis and the Haar functional on the quantum SU(2) group
Erik Koelink, J. Verding
The Haar functional on the quantum group is the analogue of invariant integration on the group . If restricted to a subalgebra generated by a self-adjoint element th…