Jambs Henderson 
183 
When we consider the tables and graphs for the Incomplete B-function, the 
results are certainly no better than in the case of the Incomplete F-function. 
Unfortunately, owing to the lack of a difference formula connecting the successive 
coefficients, we only calculated a few terms, but the behaviour of the graphs is 
similar to that of the graphs of the Incomplete F-function. Fig. 5 is very like 
Figs. 1 — 4 but Figs. 6 and 7 are rather different. In Fig. 5 the integral is 
-( dx, where p is of high value and q is of moderate size. In Figs. 6 and 7 
.' 0 o (15, o) 
r x^ (1 — x)^ 
the integral is | ^ dx, where the upper limits are '5 and "1 respectively. 
Here p is 4 and 5 is f . It seems in the incomplete F- and B-functions that the 
points come nearer the ' true value ' line for the tail of the integral than if the 
upper limit is near the mode. 
•izeoo 
•12500 
•12400- 
'h \ % % "^7 Is ^9 
NUMBER OF TERMS 
Fig. 6. 
0100 
•0080 
0060- 
■0040 
•0020 
T3 'k- % % "^7 ■% 
NUMBER OF TERMS 
Fig. 5. 
00200 
00100 - 
•00000 
^l-cl)-rz T4 % % T7 Tg T, 
NUMBER OF TERMS 
Fig. 7. 
