Oliver H. E. Philcox, Zachary Slepian
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.
Comments: 13 pages, 1 figure. Comments welcome