. For values of r<R we may, as before, substitute for in the integral. Now
the integral
.
By transforming to polars, this may be shown to be . Adding this to the part of the integral due to values of r > R, we get for the coefficient of vv',
.
As before, the coefficients of uv', vu', uw', &c. disappear by inspection.
The coefficient of ww'
;
substituting, for values of r > R, as before for for in the integral, it becomes
,
which, by transforming to polars, may be shown to be . For values of r < R we may, as before, substitute for in the integral. Now
.
On making this substitution, the integral
.
Adding this to the part obtained before, we get for the coefficient of ww',
, or .
From the part of which arises from that part of H due to e and that part of due to e', we can see,