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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
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- 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.
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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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:23, 7 November 2008 | | 1,280 × 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 |
File usage
The following 33 pages use this file:
- Analytic function
- Analyticity of holomorphic functions
- Antiderivative (complex analysis)
- Argument principle
- Cauchy's integral formula
- Cauchy's integral theorem
- Cauchy–Riemann equations
- Complex analysis
- Complex plane
- Conformal map
- Factorial
- Formal power series
- Gamma function
- Grunsky matrix
- Harmonic function
- Holomorphic function
- Isolated singularity
- Laplace's equation
- Laurent series
- Meromorphic function
- Morera's theorem
- Residue (complex analysis)
- Residue theorem
- Riemann mapping theorem
- Rouché's theorem
- Schwarz lemma
- Schwarz triangle function
- Winding number
- Zeros and poles
- Talk:Gamma function/Archive 2
- User:RazrRekr201/Table of constants
- User:SteveChervitzTrutane
- Template:Complex analysis sidebar
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