Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions
R. Mehrem
TL;DR
This paper provides an analytical solution for a complex infinite integral involving four spherical Bessel functions under specific argument conditions, advancing mathematical methods in spherical function analysis.
Contribution
It introduces an exact analytical evaluation of a four-fold spherical Bessel integral for the case when arguments are equal in pairs, which was previously unresolved.
Findings
Derived a closed-form expression for the integral
Simplified the evaluation process for specific argument cases
Enhanced understanding of spherical Bessel function integrals
Abstract
An infinite integral over four spherical Bessel functions is analytically evaluated for the special case when the arguments k_3=k_1 and k_4=k_2
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Taxonomy
TopicsParticle physics theoretical and experimental studies