# File:LogFactorialZ.jpg

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## 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. Copyright © Dmitrii Kouznetsov.See below for licence/re-use information. 2009 Japan the code of the generator of the pic: LogFactorialZ.jpg/code If there are other versions of this media on CZ, please list them here. Copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary. {{Image|LogFactorialZ.jpg|right|350px|Add image caption here.}} To edit the credit line, click here.
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## File history

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Date/Time Thumbnail Dimensions User Comment current 09:35, 21 January 2009 1,237 × 965 (717 KB) Dmitrii Kouznetsov (Talk | contribs) {{Image notes ownworkpro |Description=LogFactorial(z) in the comples z-plane.
Levels of constant $u=\Re(\mathrm{LogFactorial}(z) and Levels of constant [itex]v=\Im(\mathrm{LogFactorial}(z) are drawn with solid lines: Levels [itex]u=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,12,16,20,24$ are shown with thick black curves.
Levels $u= -3.8,-3.6,-3.4,-3.2 -2.8,-2.6,-2.4,-2.2 -1.8,-1.6,-1.4,-1.2 -0.8,-0.6,-0.4,-0.2$ are shown with thin red curves.
Levels $u= 0.2,0.4,0.6,0.8 1.2,1.4,1.6,1.8 2.2,2.4,1.6,2.8 3.2,3.4,3.6,3.8$ are shown with thin red curves.
Levels $v=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1$ are shown with thick red curves.
Level $v=0$ is shown with thick pink line.
Levels $v=1,2,3,4,5,6,7,8,12,16,20,24$ are shown with thick blue lines.
Levels $v= -3.8,-3.6,-3.4,-3.2 -2.8,-2.6,-2.4,-2.2 -1.8,-1.6,-1.4,-1.2 -0.8,-0.6,-0.4,-0.2 0.2,0.4,0.6,0.8 1.2,1.4,1.6,1.8 2.2,2.4,1.6,2.8 3.2,3.4,3.6,3.8$ are shown with thin green curves.
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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