Lines Matching refs:j1
12 /* j1(x), y1(x)
14 * Method -- j1(x):
15 * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
16 * 2. Reduce x to |x| since j1(x)=-j1(-x), and
18 * j1(x) = x/2 + x*z*R0/S0, where z = x*x;
19 * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 )
21 * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
34 * j1(nan)= nan
35 * j1(0) = 0
36 * j1(inf) = 0
42 * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
43 * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
45 * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
70 * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x-3pi/4)-q1(x)*sin(x-3pi/4))
113 double j1(double x)
173 return x*(u/v) + tpi*(j1(x)*log(x)-1/x);