naginterfaces.library.specfun.erf_​real_​vector

naginterfaces.library.specfun.erf_real_vector(x)

erf_real_vector returns an array of values of the error function $erf\left(x\right)$

For full information please refer to the NAG Library document for s15as

https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/s/s15asf.html

Parameters

xfloat, array-like, shape $\left(n\right)$

The argument $x_{\text{i}}$ of the function, for $\text{i}=1,2,\dots ,n$.

Returns

ffloat, ndarray, shape $\left(n\right)$

$erf\left(x_i\right)$, the function values.

Raises

NagValueError

(errno $1$)

On entry, $n=⟨value⟩$.

Constraint: $n\ge 0$.

Notes

erf_real_vector calculates approximate values for the error function

$$erf\left(x\right)=\frac{2}{\sqrt{\pi }}{\int }_0^x{e}^{-t^2}dt=1-erfc\left(x\right)\text{,}$$

for an array of arguments $x_{\text{i}}$, for $\text{i}=1,2,\dots ,n$.

See erf_real() for details on the algorithm used.