276 Proceedings of Royal Society of Edinburgh. [sess. 
function given in the Transactions of the Society, voL xli., 
part i., Nos. (1) and (6). The expression for JJ([ar]) given on 
p. 105, No. 6, vol. xli., should he 
P±x(x-1) 
W) 
[# p *n { ( 
The class of differential equations integrable by Bessel’s functions, 
and discussed by Lommel in vol. xiv., Mathematische Annalen , 
may without difficulty he formally extended in the same way that 
Bessel’s equation and its solutions have been extended in the 
above work. 
{Issued separately August 15 , 1904 .) 
