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Error function questions

  1. Apr 4, 2007 #1
    So i think I'm correct in assuming that the error function is the integral of the function e^(-x^2), but that it can only be expressed in terms of a Taylor series. is it really impossible to express it in terms of elementary functions?

    with this same function [e^(-x^2)], how would you integrate it without first converting to a Taylor series and then integrating the summation of the series?
  2. jcsd
  3. Apr 4, 2007 #2
  4. Apr 5, 2007 #3

    Gib Z

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    Homework Helper

    And nope, almost but not the integral of the error function.

    [tex]ERF(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt[/tex]
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