scipy.special.dawsn#

scipy.special.dawsn(x, out=None) = <ufunc 'dawsn'>#

Dawson’s integral.

Computes:

exp(-x**2) * integral(exp(t**2), t=0..x).

Parameters

xarray_like: Function parameter.
outndarray, optional: Optional output array for the function values

Returns

yscalar or ndarray: Value of the integral.

See also

wofz, erf, erfc, erfcx, erfi

References

1: Steven G. Johnson, Faddeeva W function implementation. http://ab-initio.mit.edu/Faddeeva

Examples

>>> from scipy import special
>>> import matplotlib.pyplot as plt
>>> x = np.linspace(-15, 15, num=1000)
>>> plt.plot(x, special.dawsn(x))
>>> plt.xlabel('$x$')
>>> plt.ylabel('$dawsn(x)$')
>>> plt.show()