466 THE THEORY OF TERRESTRIAL MAGNETISM. 



Hence the final equation for A n becomes 



, M(n+l)-3OT a 



n /O^ 



+ A^* Tl 



A e , , B 



f *.+ 



m 1) (n m) (n + m 1) 



_ 

 (2n+ 5) n+a (2n + 1) (2n + 3) (2w + 5) 



x [(n - m + 1 ) (n - m + 2) (n + m + 1 ) (n + m + 



And the final equation for B n becomes 



(n 



4 2 '! v- ~r A y 3wi 



"~~ ^^-v, *-" 



\A e*- -1- -B t fo- ] )("- 2 )l 



(2-8)(2n-l)(2n+l) "- 2 (2n-3)(2-l)J 



x[(n ml)(n m) (n + m 



(2n+l)(2w + 3) 





