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arXiv · 1006.2108

A Generalisation For The Infinite Integral Over Three Spherical Bessel Functions

R. Mehrem·A. Hohenegger
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Abstract

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

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R. Mehrem, A. Hohenegger. 2010-06-10. A Generalisation For The Infinite Integral Over Three Spherical Bessel Functions. https://doi.org/10.1088/1751-8113/43/45/455204

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