New kinds of deformed Bessel functions
Functional Analysis
2013-09-23 v2
Abstract
Using a deformed calculus based on the Dunkl operator, two new deformations of Bessel functions are proposed. Some properties i.e. generating function, differential-difference equation, recursive relations, Poisson formula... are also given with detailed proofs. Three more deformations are also outlined in the last section.
Keywords
Cite
@article{arxiv.1206.2522,
title = {New kinds of deformed Bessel functions},
author = {Mohammed Brahim Zahaf and Dominique Manchon},
journal= {arXiv preprint arXiv:1206.2522},
year = {2013}
}
Comments
15 pages, minor changes