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Re: Iterated integrals of the complementary error function


From: Erik Leunissen
Subject: Re: Iterated integrals of the complementary error function
Date: Sun, 1 May 2016 22:51:09 +0200
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.7.0

On 30/04/16 22:29, siko1056 wrote:


I think you mean this:
https://en.m.wikipedia.org/wiki/Error_function#Iterated_integrals_of_the_complementary_error_function


Indeed, that's exactly what I mean.


Did you consider the erfc()-Function from core Octave?
https://www.gnu.org/software/octave/doc/v4.0.0/Special-Functions.html#XREFerfc


Oh, yes, but what I'm looking for is a closed form function that includes the iterations as per your first link.

Other software has that available, where the degree of iterations is passed as just another parameter, like:

Maple: erfc(n,x)
    (http://www.maplesoft.com/support/help/maple/view.aspx?path=erf)

Matlab: erfc(K,X)
    (http://nl.mathworks.com/help/symbolic/erfc.html)


How about octave?

Greetings,

Erik.


HTH, Kai



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