On an identity for zeros of Bessel functions
Classical Analysis and ODEs
2014-10-08 v2
Abstract
In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities. We also show that our method can be applied for the zeros of other special functions, like Struve functions of the first kind, and modified Bessel functions of the second kind.
Keywords
Cite
@article{arxiv.1402.0747,
title = {On an identity for zeros of Bessel functions},
author = {Árpád Baricz and Dragana Jankov Maširević and Tibor K. Pogány and Róbert Szász},
journal= {arXiv preprint arXiv:1402.0747},
year = {2014}
}
Comments
8 pages