scipy.special.erf_zeros

scipy.special.erf_zeros(nt)

Compute the first nt zero in the first quadrant, ordered by absolute value.

Zeros in the other quadrants can be obtained by using the symmetries erf(-z) = erf(z) and erf(conj(z)) = conj(erf(z)).

Parameters:

ntint

The number of zeros to compute

Returns:

The locations of the zeros of erfndarray (complex)

Complex values at which zeros of erf(z)

References

[1]

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f77_src/special_functions/special_functions.html

Examples

>>> from scipy import special
>>> special.erf_zeros(1)
array([1.45061616+1.880943j])

Check that erf is (close to) zero for the value returned by erf_zeros

>>> special.erf(special.erf_zeros(1))
array([4.95159469e-14-1.16407394e-16j])