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File:Gamma abs 3D.png

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    Summary

    Description

    |Γ(x+iy)|

    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 z=|Γ(x+iy)|
    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

    I, the copyright holder of this work, hereby publish it under the following licenses:
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
    You are free:
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    Under the following conditions:
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    • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
    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.
    You may select the license of your choice.

    Captions

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

    Items portrayed in this file

    depicts

    gamma function

    data size

    463,716 byte

    height

    1,000 pixel

    width

    1,280 pixel

    media type

    image/png

    checksum

    3f2001af53923473cac627ef7f1e89f8dc12c167

    determination method or standard: SHA-1

    File history

    Click on a date/time to view the file as it appeared at that time.

    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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