dawson(3) | libcerf manual | dawson(3) |
cdawson, dawson - Dawson's integral
#include <cerf.h>
double _Complex cdawson ( double _Complex z );
double dawson ( double x );
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).
Project web site: http://apps.jcns.fz-juelich.de/libcerf
The computation of D(z) is based on Faddeeva's function w_of_z; to compute D(x), the imaginary part im_w_of_x is used.
Please report bugs to the 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.
Related complex error functions in liberfc:
w_of_z(3), voigt(3), cerf(3), erfcx(3), erfi(3).
Copyright (c) 2012 Massachusetts Institute of Technology
Copyright (c) 2013 Forschungszentrum Juelich GmbH
Software: MIT License.
This documentation: Creative Commons Attribution Share Alike.
2013-03-11 | perl v5.14.2 |