A Generalisation For The Infinite Integral Over Three Spherical Bessel Functions
| Autor: | Andreas Hohenegger, Rami Mehrem |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
High Energy Physics - Theory
Statistics and Probability Pure mathematics Nuclear Theory Degree (graph theory) Generalization General Physics and Astronomy Order (ring theory) Zonal spherical function FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Legendre function Nuclear Theory (nucl-th) 33-XX symbols.namesake High Energy Physics - Theory (hep-th) Modeling and Simulation symbols Integral element Nuclear theory Mathematical Physics Bessel function Mathematics |
| DOI: | 10.48550/arxiv.1006.2108 |
| Popis: | 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 Comment: Published in J. Phys. A: Math. Theor. 43 (2010) 455204 |
| Databáze: | OpenAIRE |
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