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File:Imaginary part of the Lambert W(n,x+i y) for various branches (n).jpg

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Original file (1,100 × 1,002 pixels, file size: 146 KB, MIME type: image/jpeg)

Summary

Description
English: This plot was generated with the following Mathematica code:

Clear[r, q, n, i, Pl]

Pl[n_, op_, color_] := ParametricPlot3D[{r Cos[q], r Sin[q], Im[W[n, r Exp[I q]]]}, {q, 0, 2 \[Pi]}, {r, 0, 2}, PlotStyle -> {Opacity[op], color}, PlotLegends -> {"n = " <> ToString[n]}, PlotPoints -> 50, ViewPoint -> {-3, -6, 1.3}, ImageSize -> 1024]

pm2 = Pl[-2, 0.8, Red];

pm1 = Pl[-1, 0.8, Yellow];

p0 = Pl[0, 0.5, Black];

pp1 = Pl[1, 0.8, Green];

pp2 = Pl[2, 0.5, Blue];

p = Show[pm2, pm1, p0, pp1, pp2, PlotRange -> All,BoxRatios -> {1, 1, 1}, PlotLabel -> "Im (W(n,x+iy) )", AxesLabel -> {"x", "y"}]
Date
Source Own work
 
This diagram was created with Mathematica.
Author PAR

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Plot of the imaginary part of W[n,x+i y] for branches n=-2,-1,0,1,2.

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depicts

6 July 2020

image/jpeg

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Date/TimeThumbnailDimensionsUserComment
current19:15, 6 July 2020Thumbnail for version as of 19:15, 6 July 20201,100 × 1,002 (146 KB)PARChange viewpoint to illustrate unique connection of the principal sheet
18:05, 6 July 2020Thumbnail for version as of 18:05, 6 July 2020436 × 390 (28 KB)PARUploaded own work with UploadWizard

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