On new identities involving zeros of Bessel functions

TL;DR

This paper derives new mathematical identities involving the zeros of Bessel functions, expanding the understanding of their properties and relationships with related functions.

Contribution

It introduces novel identities involving Bessel function zeros, generalizing previous results and providing potential new tools for mathematical analysis.

Findings

New identities involving zeros of Bessel functions

Generalizations of existing identities

Potential applications in mathematical analysis

Abstract

We derive new identities involving zeros of the Bessel function $J_{\nu}$ and some related functions. These are special cases of more general identities obtained in this note, which might also be of interest.