On the numerical computation of the functions G0(x), G1(x), and Jn(x√¯i)

Abstract

1. The complete solution of the equation d2y/dx2 + 1/x · dy/dx ‒ (1+n2/x2)y = 0 May be written y = AIn(x)+BKn(x), where In(x) = ∑r=∞ r=0 (1/2x)n+2r/ II (r). II (n+r) ........ (1) ;