s21bcf
s21bcf
© Numerical Algorithms Group, 2002.
Purpose
S21BCF Symmetrised elliptic integral of 2nd kind R (x,y,z)
D
Synopsis
[fun_value,ifail] = s21bcf(x,y,z<,ifail>)
Description
This routine calculates an approximate value for the integral
infty
3 / dt
R (x,y,z)= - | -------------------
D 2 / ________________
0 / 3
\/ (t+x)(t+y)(t+z)
where x, y>=0, at most one of x and y is zero, and z>0.
The routine may fail either because it has been called with
arguments outside the domain of definition, or with arguments so
extreme that there is an unavoidable danger of setting underflow
or overflow.
-3/2
Note: R (x,x,x)=x , so there exists a region of extreme
D
arguments for which the function value is not representable.
Parameters
s21bcf
Required Input Arguments:
x real
y real
z real
Optional Input Arguments: <Default>
ifail integer -1
Output Arguments:
ifail integer