Anyone can find/calculate the close form expression for the following sum?
$$ \sum_{n=0}^{\infty} J_n^2(x) \cos(ny) $$
$J_n$ is the Bessel function.
Close 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
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