scipy.special.wofz#

scipy.special.wofz(z, out=None) = <ufunc 'wofz'>#

Faddeeva function

Returns the value of the Faddeeva function for complex argument:

exp(-z**2) * erfc(-i*z)

Parameters:

zarray_like: complex argument
outndarray, optional: Optional output array for the function results

Returns:

scalar or ndarray: Value of the Faddeeva function

See also

dawsn, erf, erfc, erfcx, erfi

References

[1]

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

Examples

>>> import numpy as np
>>> from scipy import special
>>> import matplotlib.pyplot as plt

>>> x = np.linspace(-3, 3)
>>> z = special.wofz(x)

>>> plt.plot(x, z.real, label='wofz(x).real')
>>> plt.plot(x, z.imag, label='wofz(x).imag')
>>> plt.xlabel('$x$')
>>> plt.legend(framealpha=1, shadow=True)
>>> plt.grid(alpha=0.25)
>>> plt.show()