428 THE THEORY OF TERRESTRIAL MAGNETISM. 



Also from equations on p. 421 we have 



-1 ^ J -1 



- I (n + m) (n, - m) H;r l H^ dp. 



and (A7 Y: + X,: 17) dp, = ; 



hence 



m(n-m)! (n. 



1.3.5 ...(2ra-l) 1.3.5... (2^-1)" 

 Hence it appears from equations (15) and (19) that 



i -i -i -i -i 



Also from the above equations we have 



x " = H: ~ (n + " l) H:r = (n ~ m) H '"' ' 



_- m) (n-m-l)...(n-m-2r + 



_- --...-- ._ 



And -- 



._, . \ 



J' 



(n-m)(n - m- 1) ... (n-m-2r + 3) .._, 1 



(2w-l)(2n-3)...(2n-4r-+5) J 



(n-wt)(n-m- 1) ... (n-m-2r + 3) _, . 



"-^ 1+ C ' 



