On the interlacing property for zeros of Bessel functions
Classical Analysis and ODEs
2025-09-30 v1
Abstract
This note presents a simple approach to proving the interlacing properties of positive zeros of Bessel functions of the first kind. The approach relies only on the standard recurrence relations between Bessel functions and characterising intersections between curves, providing a more accessible and intuitive understanding for the interlacing behaviour of the zeros of Bessel functions.
Keywords
Cite
@article{arxiv.2509.24612,
title = {On the interlacing property for zeros of Bessel functions},
author = {Dan J. Hill},
journal= {arXiv preprint arXiv:2509.24612},
year = {2025}
}
Comments
6 pages, 2 figures