A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups
Classical Analysis and ODEs
2015-07-14 v2 Quantum Algebra
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.
Cite
@article{arxiv.1308.2859,
title = {A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups},
author = {Kenny De Commer and Erik Koelink},
journal= {arXiv preprint arXiv:1308.2859},
year = {2015}
}
Comments
11 pages; version 2 includes comments by referees