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MathGroup Archive 2001

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Re: Evaluating the Error Function of a Complex Argument

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31354] Re: [mg31345] Evaluating the Error Function of a Complex Argument
  • From: Tomas Garza <tgarza01 at prodigy.net.mx>
  • Date: Tue, 30 Oct 2001 04:35:38 -0500 (EST)
  • References: <200110290723.CAA15117@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Perhaps I didn't understand your question, but why not use directly the
in-built error function Erf[x]?

In[1]:=
Erf[2.]
Out[1]=
0.9953222650189527
In[2]:=
Erf[2. + 4*I]
Out[2]=
3999.2673029607363 - 20442.12362613485*I
In[3]:=
Erf[-2.*I]
Out[3]=
-18.564802414575553*I

Tomas Garza
Mexico City
----- Original Message -----
From: "Michael Thompson and Carol Aziz" <alant at texas.net>
To: mathgroup at smc.vnet.net
Subject: [mg31354] [mg31345] Evaluating the Error Function of a Complex Argument


> I'm looking for an algorithm or equation to evaluate the error function
> of a complex argument (erf(x+yi)).  Can anyone provide assistance?  I
> have been using an infinite series approximation for the complex error
> function that I found in Abramowitz and Stegun's Handbook of
> Mathematical Functions.  However, the solution appears inaccurate for
> high values of y.  Are there any other approaches?
>
> Thanks in advance for any assistance. Please respond directly to this
> email address, if possible.
>
> Carol Aziz
>



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