Memoirs presented to the Cambridge philosophical society on the occasion of the jubilee of Sir George Gabriel Stokes, bart., Hon. LL. D., Hon. SC. D., Lucasian professor.

FOR ELECTRIC DENSITY NEAR THE VERTEX OF A RIGHT CONE. 297
and near one of the conical points this becomes
V0 rn- 1
27r r ' aPn
sin san
where r' is the length of the axis of the spindle, r the distance of the point on the
surface from the conical point and n is the least zero of P (cose). Now when e0, equal
to r - y, is nearly 7, is - r and the values of n which occur are k+n0, where
o 'r-, i s an sin nrr
2
k is any positive integer and 2no log -= 1 *; on substitution and summation, the expression for the density at any point becomes -where r >r,
2r7rlno r21+no where > r.
* Loc. cit., Proc. Lond. Math. Soc. 1899.
VOL. XVIII. 38