File:LogFactorialZ.jpg

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Original file(1,237 × 965 pixels, file size: 717 KB, MIME type: image/jpeg)

Summary

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Title / Description


LogFactorial(z) in the complex z-plane.

Levels of constant and Levels of constant are drawn with solid lines:
Levels are shown with thick black curves.
Levels are shown with thin red curves.
Levels are shown with thin blue curves.
Levels are shown with thick red curves.
Level is shown with thick pink line.
Levels are shown with thick blue lines.
Levels are shown with thin green curves.
The cut of range of holomorphism is shown with black dashed line.

Citizendium author
& Copyright holder


Copyright © Dmitrii Kouznetsov.
See below for licence/re-use information.
Date created


2009
Country of first publication


Japan
Notes


the code of the generator of the pic: LogFactorialZ.jpg/code
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Licensing/Copyright status

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File history

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Date/TimeThumbnailDimensionsUserComment
current09:35, 21 January 2009Thumbnail for version as of 09:35, 21 January 20091,237 × 965 (717 KB)Dmitrii Kouznetsov (Talk | contribs){{Image notes ownworkpro |Description=LogFactorial(z) in the comples z-plane.<br> Levels of constant <math>u=\Re(\mathrm{LogFactorial}(z)</marh> and Levels of constant <math>v=\Im(\mathrm{LogFactorial}(z)</marh> are drawn with solid lines:<br> Levels <math>u=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,12,16,20,24</math> are shown with thick black curves. <br> Levels <math>u= -3.8,-3.6,-3.4,-3.2 -2.8,-2.6,-2.4,-2.2 -1.8,-1.6,-1.4,-1.2 -0.8,-0.6,-0.4,-0.2</math> are shown with thin red curves.<br> Levels <math>u= 0.2,0.4,0.6,0.8 1.2,1.4,1.6,1.8 2.2,2.4,1.6,2.8 3.2,3.4,3.6,3.8</math> are shown with thin red curves.<br> Levels <math>v=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1</math> are shown with thick red curves.<br> Level <math>v=0</math> is shown with thick pink line.<br> Levels <math>v=1,2,3,4,5,6,7,8,12,16,20,24</math> are shown with thick blue lines.<br> Levels <math>v= -3.8,-3.6,-3.4,-3.2 -2.8,-2.6,-2.4,-2.2 -1.8,-1.6,-1.4,-1.2 -0.8,-0.6,-0.4,-0.2 0.2,0.4,0.6,0.8 1.2,1.4,1.6,1.8 2.2,2.4,1.6,2.8 3.2,3.4,3.6,3.8</math> are shown with thin green curves.<br> The cut of range of holomorphism is shown with black dashed line. |CZ username= Dmitrii Kouznetsov |Year created= 2009 |Notes= the code of the generator of the pic: LogFactorialZ.jpg/code |Other versions=}}
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