In oblate spheroidal coordinates --
, where 
goes from 0 to
, 
goes from -1 to +1,
and 
goes from 0 to 2
-- the
surface 
= constant is an oblate spheroid
and the surface 
= constant is a hyperboloid of revolution
of one sheet. With a Green's
function (section 251 of Hobson 1931) similar to eq. (36) except for the replacement of
by 
, addition theorems
analogous to eq.s (37) and (38) follow, with the same replacement of
by and an interchange
of 
and 
in eq. (39).
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