254 REPORTS ON THE STATE OF SCIENCE, ETC. 



For Ber'z, y= ( 2n + 1 --\nV2 

 Bei'x, y= ( n— Jtt v'2 



Kei'z, J=[n+~ )tt \ 2 



These formulae cannot be usefully employed in the calculation of the smallest zeros 

 of these functions. In the case of Ber x, p x is found from the relation 



2,p-r H = 



1857 

 2 10 6 ! - 



A similar method was adopted in calculating p! for the other functions. 



First ten zeros of 



First ten zeros of 



