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Suppose that one can expand the function
as follows:



(2.5) 
where
is the coefficient of the expansion.
The multipole moment centred at O' is given by



(2.6) 
Substituting (2.5) into (2.6) one obtains the following formula:



(2.7) 
This formula (2.7) is used to translate the multipole moment
as the centre of the multipole expansion is shifted from O to O' (See Fig.2.5) and this translation is called ``M2M (Multipole
moment to(2) Multipole moment) translation''. Notice that
one can evaluate the integral in (2.1) with the translated
multipole moments as follows:
Kenichi Yoshida
20010728