ON ESTABLISHING A SOLAR OBSERVATORY IN AUSTRALIA. 75 
institution of Solar Research in Australia—an end for which it has 
worked since its appointment at the Dublin Meeting of the Association 
in 1908. The Prime Minister of the Commonwealth has consented 
to receive a deputation of overseas astronomers with regard to the 
nature of the solar work which should be undertaken in Australia. 
The Calculation of Mathematical Tables.—Report of the Com- 
mittee, consisting of Professor M. J. M. Hint (Chairman), 
Professor J. W. NicHouson (Secretary), Mr. J. R. Atrey, 
Professor L. N. G. Finon, Sir GEORGE GREENHILL, Professor 
E. W. Hosson, Professor ALFRED LopGE, Professor 
A. E. H. Love, Professor H. M. Macponatp, and Professor 
A. G. WEBSTER. 
THE grant given to the Committee during the past year has been ex- 
pended on the calculation of the Logarithmic Bessel Functions, for which 
it was specially allocated. In the present report are Tables of the functions 
Y,(z) and Y,(z), whose significance was explained on page 29 of the last 
report. These proceed from argument «+ = 0:02 to x = 15:50, at 
intervals of 0-02, and are correct to six significant figures. 
Some further Tables of the functions G,(x) are also included, for 
varying order n of the functions. These are incomplete at present. The 
Committee is proceeding with the further calculation of the functions 
Mem); Ne(X), =>» ee on the same scale as the present Tables of Yo 
and Y,. 
The Committee desires to ask for a further grant of 30/. during the 
coming year, to be allocated to this work. 
Some Tables calculated by Mr. Doodson, of the University of Liverpool, 
are given at the end of the report. They deal with the functions of 
type J,,,,(z), where 7 is a positive or negative integer, A considerable 
demand for these Tables exists at present. Mr. Doodson is continuing 
this work, and it is suggested that his name be added to the Committee. 
The previous requisition that a large number of copies of the report 
(about 100) should be placed in the hands of the Secretary for distribution 
__ is repeated, as the demand for these Tables from physicists is increasing. 
Tables of the Neumann Functions Y,(x) and Y,(x) or Bessel Functions of 
the Second Kind. 
The second solution of Bessel’s differential equation 
"y y _— 
2 d? d 2 2 
has been given in several forms—G,(z), Y,(x), K,(z), &c. Tables 
of G(x) and G,(z) for values of x from 0:01 to 16:00 by intervals of 0-01 
were published in the report for 1913. 
Short Tables of the Y,(z) and Y,(«) functions defined by 
2 4/ 
Yow) = Jo(w) -logw + (5) — (1 + 4) (5) /2!? 
6) 
+ (1 +4++4) (G) Fi cae 
