228 



REPORTS ON THE STATE OF SCIENCE, ETC. 

 M (a . - | . x) 



To construct the table of M (a. y. x) when a and y are positive integers, two values 

 of the function for each value of x are required, M(0. 1 .x) = \ and M(l . l.x)=e*. 

 The remaining entries to ten significant figures were calculated as before from the 

 various recurrence formulae. When <x=±£, ±f, the independent calculations of 

 M(£ . 1 . x) and M ( — \ . 1 . x) were checked from the tables* of l (x) and LJx). 



* A. Lodge. Reports of the Committee, 1893 and 1896. 



* Aldis. Proc. Roy. Society, 64, 1899. 





