Analytical evaluation of an infinite integral over four spherical Bessel functions
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摘要
An infinite integral over four spherical Bessel functions of the form ∫0∞r2jλ1(k1r)jλ2(k2r)jλ3(k1r)jλ4(k2r)dr is analytically evaluated. The result involves a finite sum over an associated Legendre function of integer degree and half integer order with a real argument greater than 1.
论文关键词：Infinite integrals over spherical Bessel functions,Integrals over associated Legendre functions,Special functions,Nuclear reactions theory
论文评审过程：Available online 25 May 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.04.025
