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=pod
=begin html
<link rel="stylesheet" href="../podstyle.css" type="text/css" />
=end html
=head1 NAME
cerfi, erfi - imaginary error function
=head1 SYNOPSIS
B<#include <cerf.h>>
B<double _Complex cerfi ( double _Complex z );>
B<double erfi ( double x );>
=head1 DESCRIPTION
The function B<cerfi> returns an error function rotated in the complex plane,
erfi(z) = -i erf(iz).
The function B<erfi> takes a real argument and returns a real result.
=head1 RESOURCES
Project web site: http://apps.jcns.fz-juelich.de/libcerf
=head1 REFERENCES
The implementation of B<cerfi> and B<erfi> is trivially based on the functions
B<cerf> and B<im_w_of_x>.
=head1 BUG REPORTS
Please report bugs to the authors.
=head1 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.
=head1 SEE ALSO
Related complex error functions in liberfc:
B<w_of_z(3)>, B<dawson(3)>, B<voigt(3)>, B<cerf(3)>, B<erfcx(3)>.
The real error function comes with recent versions of glibc, as requested by the C99 standard:
B<erf(3)>
=head1 COPYING
Copyright (c) 2012 Massachusetts Institute of Technology
Copyright (c) 2013 Forschungszentrum Juelich GmbH
Software: MIT License.
This documentation: Creative Commons Attribution Share Alike.
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