214 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



B. A. Report, 1879, pp. 54-57. Integral values of n from i to 7; from x = o.oi 

 to x = i. oo, interval o.oi, 16 decimal places. 



Jahnke and Emde: Funktionentafeln, p. 83; same to 4 decimal places. 



P n (cos 0) 



Phil. Trans. Roy. Soc. London, 203, p. 100, 1904. Integral values of n from 

 i to 20, from 6 = o to 6 = go, interval 5, 7 decimal places. 



Phil. Mag. 32, p. 512, 1891. Integral values of n from i to 7, 6 = o to 

 6 = 90, interval i ; 4 decimal places. Reproduced in Jahnke and Emde, p. 85. 



Tallquist, Acta Soc. Sc. Fennicae, Helsingfors, 33, pp. 1-8. Integral values 

 of n from i to 8; 6 = o to 6 = go, interval i, 10 decimal places. 



Airey, Proc. Roy. Soc. London, 96, p. i, 1919. Tables by means of which 

 zonal harmonics of high order may be calculated. 



Lodge, Phil. Trans. Roy. Soc. London, 203, 1904, p. 87. Integral values of 

 n from i to 20; 6 = o to 6 = go, interval 5, 7 decimal places. Reprinted in 

 Rayleigh, Collected Works, Volume V, p. 162. 



dP n (cos 6) 

 60 



Farr, Proc. Roy. Soc. London, 64, 199, 1899. Integral values of n from i to 7; 

 6 = o to 6 = go, interval i, 4 decimal places. Reproduced in Jahnke and Emde, 

 p. 88. 



MX), J,(x) (9.101). 



Meissel's tables, x = o.oi to x = 15.50, interval o.oi, to 12 decimal places, 

 are given in Table I of Gray and Mathews' Treatise on Bessel's Functions. 



Aldis, Proc. Roy. Soc. London 66, 40, 1900. x = o.i to x = 6.0, interval 

 o.i, 21 decimal places. 



Jahnke and Emde, Funktionentafeln, Table III. x = o.oi to x = 15.50, 

 interval o.oi, 4 decimal places. 



/(*) (9.101). 



Gray and Mathews, Table II. Integral values of n from n o to n = 60; 

 integral values of x from x = i to x - 24, 18 decimal places. 

 Jahnke and Emde, Table XXIII, same, to 4 significant figures. 

 B. A. Report, 1915, p. 29; n = o to n = 13. 



x = 0.2 to x = 6.0 interval 0.2 6 decimal places, 

 x = 6.0 to x = 16.0 interval 0.5 10 decimal places. 



Hague, Proc. London Physical Soc. 29, 211, 1916-17, gives graphs of J n (x) 

 for integral values of n from o to 12, and n = 18, x ranging from o to 17. 



. 



B. A. Report, 1913, pp. 116-130. x = o.oi to x = 16.0, interval o.oi, 7 

 decimal places. 



