2l6 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



|>(a) + (log 2 - ?)/(), 



- Ya-i(a) + (log 2 - 7)/a-i(a). Denoted -Y a (a) and -F a _x(a). 



Tables of these six functions are given in the B. A. Report, 1916, as follows: 



/.(*), /,(*) (9.211). 



Aldis, Proc. Roy. Soc. London, 64, pp. 218-223, 1899; # = o.i to x = 6.0, 

 interval o.i; x = 6.0 to x = n.o, interval i.o, 21 decimal places. 

 Jahnke and Emde, Tables XI and XII, 4 places: 



x = o.oi to x = 5.10 interval o.oi, 

 x = 5.10 to x = 6.0 interval o.i, 

 x = 6.0 to x = i i.o interval i.o. 



!(*) (9.211). 



B. A. Report, 1896; x = o.ooi to x = 5.100, interval o.ooi, 9 decimal 

 places. 

 Ii(*) (9.211). 



B. A. Report, 1893; x - o.ooi to x = 5.100, interval o.ooi, 9 decimal 

 places. 



Gray and Mathews, Table V, x = o.oi to x = 5.10, interval o.oi, 9 decimal 

 places. 



In(*) (9.211). 



B. A. Report, 1889, PP- 28-32; integral values of n from o to n, x = 0.2 

 to x = 6.0, interval o>2, 12 decimal places. These tables are reproduced in 

 Gray and Mathews, Table VI. 



Jahnke and Emde, Table XXIV; same ranges, to 4 places. 



J (xVi) = X-iY, 



V~ 2 J l (xVi) =Xi + iYi 



