2born (2born) wrote,

Обожаю функции Бесселя, о них что-то новенькое до сих пор открывают:))

An Exact Integral-to-Sum Relation for Products of Bessel Functions: https://arxiv.org/abs/2104.10169
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
Tags: Мегаучебник или Что я читал и похвалил, наука, разгребая arXiv'ы

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