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ON THE TABULATION OF BESSEL AND OTHER FUNCTIONS. 87 
The further Tabulation of Bessel and other Functions.—Report of 
the Committee, consisting of Professor M. J. M. Hitt (Chair- 
man), Professor J. W. NicHonson (Secretary), Mr. J. R. 
Artrty, Professor lL. N. G. Finon, Sir GEORGE GREENHILL, 
Professor ALFRED LODGE, and Professor A. G. WEBSTER. 
{Puarss IT., III., anp IV.] 
THE grant of 30/. given to the Committee during the past year has been 
expended on the calculation of the Elliptic Function Tables, according to 
the scheme of Sir George Greenhill approved by the Association. The 
Tables of these functions, printed in the present report, are accompanied 
by some graphs, and by a further explanation prepared by Sir George 
Greenhill. One of these Tables is given only in a skeleton form in the 
present report. 
The Committee desires reappointment, with a further grant of 301. 
during the coming year. It is proposed that this should be expended 
mainly on the further calculation of the I, Y, and K Bessel Functions, as 
the Secretary has received several requests for such Tables from scientific 
workers during the past year. The remainder of the approved scheme of 
work on the Elliptic Function Tables does not require much expenditure 
for the present. 
Mr. Airey has completed his Tables of the Neumann Functions or 
_ Bessel Functions of the second kind, for an argument z=0-00 to z=15-26, 
at intervals of 0-01. The functions are of order zero and unity, and the 
Tables can be made a basis for the accurate calculation of the functions 
of higher orders. The Committee desires to point out that this very 
_ complete and important Table is entirely the work of Mr. Airey, and has 
been calculated without a grant. The necessity of a grant for the con- 
tinuation of this part of the work will be apparent. 
The Committee seeks the formal sanction of the Association for a 
_ change of name to ‘ The Committee for the Calculation of Mathematical 
Tables.’ Its scope has been enlarged several times by the Association, 
and this change of name seems now to be necessary. 
___ The Committee desires to recommend that, in view of the scarcity of 
‘fa reports, more copies should be printed, and at the same time a 
er number placed on the tables at the meeting, so that the greater 
number of those printed should be placed in the hands of the Secretary 
for distribution. 
the 
