2 papers
math.CA2025
On the interlacing property for zeros of Bessel functions
Dan J. Hill
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 recurre…
math.FA2024
On function spaces for radial functions
Mark D. Groves, Dan J. Hill
This paper is concerned with complex Banach-space valued functions of the form $$ \hat{f}_k(r\cosθ,r\sinθ,z)=\mathrm{e}^{\mathrm{i} k θ}f_k(r,z), \qquad r \in [0,\infty), θ\in \mat…