File:Error Function Generalised.svg

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Error_Function_Generalised.svg‎ (SVG file, nominally 600 × 420 pixels, file size: 62 KB)

Description

A graph of the generalised error functions, E1(x) to E5(x), where

E_n(x) = \frac{n!}{\sqrt{\pi}} \int_0^x e^{-t^n}\,dt =\frac{n!}{\sqrt{\pi}}\sum_{p=0}^\infin(-1)^p\frac{x^{np+1}}{(np+1)p!}\,.

These curves are plotted by the sum representation.
Date

19 February 2008(2008-02-19)
Source

self-made, Inkscape and Mathematica
Author

Inductiveload
Permission
(Reusing this image)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Usage:

File history

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Date/TimeThumbnailDimensionsUserComment
current04:13, 19 February 2008Thumbnail for version as of 04:13, 19 February 2008600×420 (62 KB)Inductiveload (talk | contribs) ({{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} )
03:16, 19 February 2008Thumbnail for version as of 03:16, 19 February 2008600×420 (55 KB)Inductiveload (talk | contribs) ({{Information |Description=A graph of the generalised w:error functions, ''E<sub>1</sub>(x)'' to ''E<sub>5</sub>(x)'', where :<math>E_n(x) = \frac{n!}{\sqrt{\pi}} \int_0^x e^{-t^n}\,dt =\frac{n!}{\sqrt{\pi}}\sum_{p=0}^\infin(-1)^p\frac{x^{np+1}}{(np+)

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