or transforming to polars,

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For values of *r* < R we may, by the same reasoning as before, substitute in the integral for . Now

making this substitution, the integral becomes

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Hence, adding this to the part previously obtained for values of *r* > R, we see that the coefficient of *vv'* from is zero, and, similarly, the coefficient of *ww'* from this part of the integral vanishes.

Let us now take the terms arising from , and take, as before, the part arising from the product of that part of G due to *e* with the part of due to *e'.* The coefficient of *uu'* in this part will be the same as the coefficient of *vv'* in the former part, and so will vanish.

The coefficient of *vv'*

Now for values of *r* > R we may, as before, substitute for ; and it becomes

By transforming to polars, as before, this may be shown to be