cpp/numeric/special functions/ellint 3

@1-3@ Computes the of, , and. @A@ Additional overloads are provided for all other combinations of arithmetic types.

Return value
If no errors occur, value of the incomplete elliptic integral of the third kind of, , and , that is $$, is returned.

Error handling
Errors may be reported as specified in math_errhandling:
 * If the argument is NaN, NaN is returned and domain error is not reported.
 * If $|k|>1$, a domain error may occur.