3.5.1.3.27 Elliptic_integral_rf

Definition:

$Rf=elliptic\_integral\_rf(x,y,z)$ calculates an approximation to the integral

$R_F(x,y,z)=\frac 12\int_0^\infty \frac{dt}{\sqrt{(t+x)(t+y)(t+z)}}$

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

For more information please review the s21bbc function in the NAG document.

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, z ≥ 0.0 and only one of x, y and z may be zero.
Rf (output, double): Approximation of the integral

$R_F(x,y,z)=\frac 12\int_0^\infty \frac{dt}{\sqrt{(t+x)(t+y)(t+z)}}$

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