File:Gamma_abs_3D.png
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Summary
DescriptionGamma abs 3D.png |
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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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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Items portrayed in this file
depicts
2008
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 |
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The following pages on the English Wikipedia use this file (pages on other projects are not listed):
- Analytic function
- Analyticity of holomorphic functions
- Antiderivative (complex analysis)
- 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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