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math.CA2013
A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups
Kenny De Commer, Erik Koelink
A q-analogue of Erdelyi's formula for the Hankel transform of the product of Laguerre polynomials is derived using the quantum linking groupoid between the quantum SU(2) and E(2) g…
math.CA2013
Matrix-Valued Little q-Jacobi Polynomials
Noud Aldenhoven, Erik Koelink, Ana M. de los Ríos
Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2x2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonal…