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erfcx(3)                        libcerf manual                        erfcx(3)




NAME

       cerfcx, erfcx - underflow-compensated complementary error function


SYNOPSIS

       #include <cerf.h>

       double _Complex cerfcx ( double _Complex z );

       double          erfcx  ( double x );


DESCRIPTION

       The function cerfcx is an underflow-compensated variant of the complex
       error function: erfcx(z) = exp(z^2) erfc(z).

       The function erfcx takes a real argument and returns a real result.


REFERENCES

       The implementation of cerfcx is a thin wrapper around Faddeeva's
       function w_of_z.

       The implementation of erfcx is self-contained, and improves upon the
       SLATEC DERFC function (or an erfcx function derived therefrom) or
       Cody's CALERF function (from netlib.org/specfun), while retaining near
       machine precision in accuracy.


SEE ALSO

       Related complex error functions in liberfc: w_of_z(3), dawson(3),
       voigt(3), cerf(3), erfi(3).

       The real error function comes with recent versions of glibc, as
       requested by the C99 standard: erf(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.




cerfcx(3)

libcerf 2.0 - Generated Sat Apr 17 08:45:23 CDT 2021
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