English

On the zeros of the big $q$-Bessel functions and applications

Complex Variables 2013-11-06 v1

Abstract

This paper deals with the study of the zeros of the big qq-Bessel functions. In particular, we prove a new orthogonality relations for this functions similar to the one for the classical Bessel functions. Also we give some applications related to the sampling theory.

Keywords

Cite

@article{arxiv.1311.1165,
  title  = {On the zeros of the big $q$-Bessel functions and applications},
  author = {Fethi Bouzeffour and Hanen Ben Mansour},
  journal= {arXiv preprint arXiv:1311.1165},
  year   = {2013}
}