I work on a project and I am blocked on the question to determine the auxiliary density $\Omega_{\mu}(r)$ such that \begin{equation} \int_0^{+\infty}\left(I_{n+\mu}(r)\right)^2\Omega_{\mu}(r)dr=\frac{n!}{(n+\mu)(2\mu)_n}. \end{equation} where $I_{n+\mu}(.)$ is the Bessel function. Thank you for your help.
2026-03-31 21:11:51.1774991511
Integral: product of Bessel functions
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