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A new formula is derived that generalises an earlier result for the infiniteintegral over three spherical Bessel functions. The analytical result involvesa finite sum over associated Legendre functions, $P_l^m(x)$, of degree $l$ andorder $m$. The sum allows for values of $|m|$ that are greater than $l$. Ageneralisation for the associated Legendre functions to allow for any rational$m$ for a specific $l$ is also shown

A Generalisation For The Infinite Integral Over Three Spherical Bessel Functions