MK. LOUIS VESSOT KING ON THE SCATTEEING AND 
40(1 
Table IV .—Tahnlation of the Fxmdion G (C sec (). 
This function occurs in calculating the mean coefficient, e, in the solution of the integral equation (44). 
It is easily tabulated from Lash Miller’s tables. 
Table V. — Tabulation of the Auxiliary Funriions ffi (C, 0), G (C), / (C). 
The function/(;)■) define<l by the relation 
/(.<:) = rr I dn, = e~^ + :e?Ji {-x) 
occurs in the theory of absorption in a flat plate which itself al).sorbs radiation from a uniform distri¬ 
bution of radiating elements throughout its own volume. A short talile of the function / (z) has been 
given by the writer in a previous paper.* 
We write as in (51), 
B (x) = Fi (-x)- log X, B ( - a:) = Eiix) - log x. 
The function B {x) is given in Lash Miller’s Tables.! The function B {- x) was calculated by making 
use of the tables of the exponential integral Ei (x). J 
From these a table of the function 
(C, 0) = (1 - e-^) {1 -/ (C)} + B (C) - B (2C) e'" {B (C) - y} 
was constructed. 
* King, L. V., “Absorption Problems in Radioactivity,” ‘Phil. Mag.,’ February, 1912, p. 245. 
t W. Lash Millee and T. R. Rosbbeugh, loc. cit., p. 81. 
! Cf. Dale, ‘ Five-Figure Tables of Mathematical F'unctions,’ Arnolds, London, 1908, 
