cpp/numeric/special functions/ellint 1

@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 first 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.