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arXiv · 0809.2773

On the $q$-Bessel Fourier transform

Lazhar Dhaouadi
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Abstract

In this work, we are interested by the $q$-Bessel Fourier transform with a new approach. Many important results of this $q$-integral transform are proved with a new constructive demonstrations and we establish in particular the associated $q$-Fourier-Neumen expansion which involves the $q$-little Jacobi polynomials.

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Lazhar Dhaouadi. 2008-09-16. On the $q$-Bessel Fourier transform. https://arxiv.org/abs/0809.2773

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