3.5.1.3.30 Elliptic_integral_rd

Definition:

\(Rd = elliptic\_integral\_rd(x,y,z)\) calculates an approximate value for the integral

\[R_D(x,y,z)=\frac 32\int_0^\infty \frac{dt}{\sqrt{(t+z)(t+y)(t+z)^3}}\]

where x, y ≥ 0, at most one of x and y is zero, and z > 0.

For more information please review the s21bcc function in the NAG document.

Parameters:

x (input, double)

The argument x of the function.

y (input, double)

The argument y of the function.

z (input, double)

The argument z of the function.

Constraint: x, y ≥ 0.0, z>0.0 and only one of x, y and z may be zero.

Rd (output, double)

Approximate value of the integral

\[R_D(x,y,z)=\frac 32\int_0^\infty \frac{dt}{\sqrt{(t+z)(t+y)(t+z)^3}}\]