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arXiv · 1308.2859

A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups

Kenny De Commer·Erik Koelink
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Abstract

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) groups. The kernel of the q-Hankel transform is given by the 1\varphi1-q-Bessel function, and then the transform of a product of two Wall polynomials times a q-exponential is calculated as a product of two Wall polynomials times a q-exponential.

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Kenny De Commer, Erik Koelink. 2013-08-13. A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups. https://arxiv.org/abs/1308.2859

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