A generalization for the infinite integral over three spherical Bessel functions

Mehrem, Rami; Hohenegger, Andreas

doi:10.1088/1751-8113/43/45/455204

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A generalization for the infinite integral over three spherical Bessel functions

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Hohenegger, Andreas
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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引用

Mehrem, R., & Hohenegger, A. (2010). A generalization for the infinite integral over three spherical Bessel functions. Journal of Physics A: Mathematical and Theoretical, 43(45):, pp. 1-9. doi:10.1088/1751-8113/43/45/455204.

引用: https://hdl.handle.net/11858/00-001M-0000-0011-700F-E

要旨

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