English

On the $q$-Bessel Fourier transform

Classical Analysis and ODEs 2013-02-01 v4

Abstract

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

Keywords

Cite

@article{arxiv.0809.2773,
  title  = {On the $q$-Bessel Fourier transform},
  author = {Lazhar Dhaouadi},
  journal= {arXiv preprint arXiv:0809.2773},
  year   = {2013}
}
R2 v1 2026-06-21T11:20:49.244Z