262 USEFUL FORMULAE, CONNECTING LEGENDRE'S COEFFICIENTS, WHICH 



Similarly 



ti m p 



^ ' 



and reducing as before 



Again, 

 or reducing by the expression 



we get 



Test of the above. 



_ 



(w + m)( 1 /r) + m (n + m)/r (w m + 1 ) (m + w)(l /A 2 ) 



- (2n + 1) (n - m + 1) (n + m)} 



agreeing with the relation found in Art. 8. 



