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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: [mg31351] Re: Evaluating the Error Function of a Complex Argument
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 30 Oct 2001 04:35:35 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <9rj0su$eps$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

Erf[I*y] should go to infinity. What is inaccurate for high y ?
Erf[10*I] is already 1.52431*10^42 ?

Regards
  Jens

Michael Thompson and Carol Aziz wrote:
> 
> 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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