On the $q$-Bessel Fourier transform

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.

Cited by in corpus (1)

• $q$-Bessel Fourier Transform and Variation Diminishing kernel