Il8 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



13. (i + *)-* = i - -x + ^ x 2 - x* + -41 x* - . 

 5 25 125 625 



14. 



6 72 1296 31104 



15. (i + *)-*-i-|* + -Z.,*_-2L* + -IZ29 

 6 72 1296 31104 



6.350 



X 

 2. 



6.351 



i. |i + v7+~*v =2 n <i + n(- 



n may be any real number. 



n(n - 4) (n - 5) (* 



I i 





=o 



6.352 If a is a positive integer: 



X 4 * , * .... (<*-!)!/ V*" 



~ ~| 7 T~T -T X -\- = < c / 



a a(a + i) a(a + i) (a + 2) x a \ Jn\ 



6.353 If a and b are positive integers, and a<b: 

 a a (a + i) a(q + i) (a + 2} 2 



b + b(b + i) * f 6(6 + i) (6 + 2) * 



C+/&-I 



n A; 



*=i 



(Schwatt, Phil. Mag. 31, 75, 1916) 



