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

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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
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Captions

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

Items portrayed in this file

depicts

inception

6 July 2020

media type

image/jpeg

File history

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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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