<?xml version="1.0" ?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>libcerf\ manual</title> <meta http-equiv="content-type" content="text/html; charset=utf-8" /> <link rev="made" href="mailto:root@localhost" /> </head> <body> <link rel="stylesheet" href="podstyle.css" type="text/css" /> <h1 id="NAME">NAME</h1> <p>cdawson, dawson - Dawson's integral</p> <h1 id="SYNOPSIS">SYNOPSIS</h1> <p><b>#include <cerf.h</b>></p> <p><b>double _Complex cdawson ( double _Complex z );</b></p> <p><b>double dawson ( double x );</b></p> <h1 id="DESCRIPTION">DESCRIPTION</h1> <p>The function <b>cdawson</b> 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).</p> <p>For function <b>dawson</b> takes a real argument x, and returns the real result D(x).</p> <h1 id="SEE-ALSO">SEE ALSO</h1> <p>The computation of D(z) is based on Faddeeva's function <b>w_of_z</b>(3); to compute D(x), the imaginary part <b>im_w_of_x</b>(3) is used.</p> <p>Other complex error functions: <b>w_of_z</b>(3), <b>voigt</b>(3), <b>cerf</b>(3), <b>erfcx</b>(3), <b>erfi</b>(3).</p> <p>Homepage: http://apps.jcns.fz-juelich.de/libcerf</p> <h1 id="AUTHORS">AUTHORS</h1> <p>Steven G. Johnson, http://math.mit.edu/~stevenj, Massachusetts Institute of Technology, researched the numerics, and implemented the Faddeeva function.</p> <p>Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich, reorganized the code into a library, and wrote this man page.</p> <p>Please report bugs to the authors.</p> <h1 id="COPYING">COPYING</h1> <p>Copyright (c) 2012 Massachusetts Institute of Technology</p> <p>Copyright (c) 2013 Forschungszentrum Juelich GmbH</p> <p>Software: MIT License.</p> <p>This documentation: Creative Commons Attribution Share Alike.</p> </body> </html>
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