Anyone can find/calculate a closed form expression for the sum $$ \sum_{n=0}^{\infty} J_n^2(x) \cos(ny), $$ where $J_n$ is the Bessel function?
Closed form expression for $\sum_{n=0}^{\infty} J_n^2(x) \cos(ny)$, where $J_n(x)$ is the Bessel function of order $n$
Saven Fukuro
- 49
- 2