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On the interlacing property for zeros of Bessel functions
Dan J. Hill
https://arxiv.org/abs/2509.24612 https://arxiv.org/pdf/2509.24612

On the interlacing property for zeros of Bessel functions
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.