34 citations · 281 across the 51 of their papers we have counts for
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math.CA2003
One-parameter orthogonality relations for basic hypergeometric series
Erik Koelink
The second order hypergeometric q-difference operator is studied for the value c=-q. For certain parameter regimes the corresponding recurrence relation can be related to a symmetr…
math.QA2003★ 15 cited
Elliptic U(2) quantum group and elliptic hypergeometric series
Erik Koelink, Yvette van Norden, Hjalmar Rosengren
We investigate an elliptic quantum group introduced by Felder and Varchenko, which is constructed from the -matrix of the Andrews-Baxter-Forrester model, containing both spectra…
math.CA2003
Continuous Hahn functions as Clebsch-Gordan coefficients
Wolter Groenevelt, Erik Koelink, Hjalmar Rosengren
An explicit bilinear generating function for Meixner-Pollaczek polynomials is proved. This formula involves continuous dual Hahn polynomials, Meixner-Pollaczek functions, and non-p…