File:Gamma abs 3D.png

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Summary

Description

English: 3-dimensional plot of the absolute value of the complex gamma function
Date
Source Own work
Author Geek3
Mathematical Function Plot
Description Plot of gamma(z)
Equation
Coordinate System Cartesian
X Range -4.5 .. 5
Y Range -5 .. 5
Z Range 0 .. 6

Source Code

 
This diagram was created with Mathematica.
Plot3D[Abs[Gamma[x + I y]], {x, -4.5, 5}, {y, -5, 5},
  PlotPoints -> 400, PlotRange -> {0, 6}, ViewPoint -> {-2, -2.5, 1},
  Boxed -> False, BoxRatios -> Automatic, 
  AxesEdge -> {{-1, -1}, {-1, -1}, {1, -1}},
  Mesh -> {9, 9, 5}, MeshStyle -> {Black, Black, Opacity[0.4]},
  MeshFunctions -> {Min[#1, 2*(#1 + 2)] &, #2 &, #3 &},
  RegionFunction -> Function[{x, y, z}, Abs[Gamma[x + I y]] <= 6],
  AxesLabel -> {Re[z], Im[z]}, PlotLabel -> Style[Abs[Gamma[z]], 20]]

Licensing

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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Captions

3-dimensional plot of the absolute value of the complex gamma function

Items portrayed in this file

depicts

gamma function

File history

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Date/TimeThumbnailDimensionsUserComment
current23:23, 7 November 2008Thumbnail for version as of 23:23, 7 November 20081,280 × 1,000 (453 KB)Geek3== Summary == {{Information |Description= <math>|\Gamma(x + iy)|</math> {{en|1 = 3-dimensional plot of the absolute value of the complex gamma function}} |Source = Own work by uploader |Date = 2008 |Author = Geek3 |Permission = |other_vers

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