http://arxiv.org/abs/2104.10169
A useful identity relating the infinite sum of two Bessel functions to their infinite integral was discovered in Dominici et al. (2012). Here, we extend this result to products of $N$ Bessel functions, and show it can be straightforwardly proven using the Abel-Plana theorem. For $N=2$, the proof is much simpler than that of the former work, and significantly enlarges the range of validity.
O. Philcox and Z. Slepian
Thu, 22 Apr 2021
2/44
Comments: 13 pages, 1 figure. Comments welcome