Infinite series

Multipole expansion of

Let and let be the angle between and , so that .1 Then we have the multipole expansion

where is a Legendre polynomial. #m/thm/anal/vec

Proof

#missing/proof

#state/develop | #lang/en | #SemBr

Footnotes

  1. Presented here is the multipole expansion as it pertains to Electrodynamics MOC. ↩