194 Mr Glaisher, On the developments of [Nov. 24, 



The formulas in the case when k is small, §§ 12 — 15. 

 § 12. When k is small, 



2K 



— =^ = 1+|F, 



7T 



2E 



= E 1 = l-ltf, 



21 



~ = I = — i P 



2TT 



"l 2 8 ^ > 



and 



^ 2 = i& 2 , 



/ 2 = 1 — \ k 2 , 

 G 2 = 1 - I F, 

 ^ 2 =l-iF, 



*2 = 1 ~ i ^ > 

 Tf 2 = l-iF. 



§ 13. Thus, if we neglect terms of the order k 2 in the series 

 K 2 , JE 2 , &c, we have 



K = — - log r ,- 



•^ l0g T + 1, 



2^, 4 



i = - — log t + 1, 



n> 2(7 , 4 , 

 G = log F + l, 



F = loff T + 1. 



TT 



k 



