---
name: "cerfcl"
section: "3"
platform: "linux"
package: "manpages-dev"
version: "3.74-1"
release: "Debian 8 (Jessie)"
platforms: ["linux"]
url: "https://new.carta.tech/cerf"
---

# cerfcl(3)

complex error functions

Part of [cerf(3)](/cerf/3.md).

## NAME

cerf, cerfc - complex error functions

## SYNOPSIS

**#include \<cerf.h**\>

**double \_Complex cerf ( double \_Complex z );**

**double \_Complex cerfc ( double \_Complex z );**

## DESCRIPTION

The function **cerf** is the complex version of the error function: erf(z) = 2/sqrt(pi) \* integral from 0 to z of exp(-t\*t) dt.

The complementary complex error function **cerfc** is defined as erfc(z) = 1-cerf(z).

## RESOURCES

Project web site: http://apps.jcns.fz-juelich.de/libcerf

## REFERENCES

The computations are based on Faddeeva's function **w\_of\_z**.

## BUG REPORTS

Please report bugs to the authors.

## 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.

## SEE ALSO

Related complex error functions in liberfc:

***w\_of\_z*****(3)**, ***dawson*****(3)**, ***voigt*****(3)**, ***erfcx*****(3)**, ***erfi*****(3)**.

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

***erf*****(3)**

## COPYING

Copyright (c) 2012 Massachusetts Institute of Technology

Copyright (c) 2013 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.