# NAME

cdawson, dawson - Dawson's integral

# SYNOPSIS

#include <cerf.h>

double _Complex cdawson ( double _Complex z );

double dawson ( double x );

# DESCRIPTION

The function cdawson returns Dawson's integral D(z) = exp(-z^2) integral from 0 to z exp(t^2) dt = sqrt(pi)/2 * exp(-z^2) * erfi(z).

For function dawson takes a real argument x, and returns the real result D(x).

# SEE ALSO

The computation of D(z) is based on Faddeeva's function w_of_z(3); to compute D(x), the imaginary part im_w_of_x(3) is used.

Other complex error functions: w_of_z(3), voigt(3), cerf(3), erfcx(3), erfi(3).

Homepage: http://apps.jcns.fz-juelich.de/libcerf

# AUTHORS

Steven G. Johnson, http://math.mit.edu/~stevenj, Massachusetts Institute of Technology, researched the numerics, and implemented the Faddeeva function.

Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich, reorganized the code into a library, and wrote this man page.

Please report bugs to the authors.

# COPYING

Copyright (c) 2012 Massachusetts Institute of Technology

Copyright (c) 2013 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.