# File:Factorialz.jpg

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## Summary

 Title / Description Plot of factorial of complex argument. In the complex -plane, the lines of constant  and the lines of constant  are shown. The levels  are drown with thick black lines. some of intermediate levels const are shown with thin blue lines for positive values and with thin red lines for negative values. The levels  are shown with thick red lines. The level  is shown with thick pink lines. The levels  are drown with thick blue lines. some of intermediate levels const are shown with thin green lines. The dashed blue line shows the level  and corresponds to the value of the principal local minimum of the factorial of the real argument. The dashed red line shows the level  and corresponds to the value of the first local maximum of the factorial of the real argument. Dmitrii Kouznetsov Dmitrii KouznetsovSee below for license/re-use information. factorialz.jpg/code January 2009 Japan You can edit this page and add notes here which may be useful to people who wish to re-use this media. If there are other versions of this media on CZ, please list them here. Please click here to add the credit line, then copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary. {{Image|Factorialz.jpg|right|350px|Add image caption here.}}
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## File history

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Date/Time Thumbnail Dimensions User Comment current 02:11, 19 January 2009 1,219 × 927 (479 KB) Dmitrii Kouznetsov (Talk | contribs) {{Image notes |Description= Plot of factorial of complex argument. In the complex $z$-plane, the lines of constant $u=\Re(z!)$ and the lines of constant $v=\Im(z!)$ are shown. The levels $u= -24, -20, -16, -12, -8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,12,16,20,24$ are drown with thick black lines. some of intermediate levels $u=$const are shown with thin blue lines for positive values and with thin red lines for negative values.
The levels $v= -24, -20, -16, -12, -8,-7,-6,-5,-4,-3,-2,-1$ are shown with thick red lines.
The level $v=0$ is shown with thick pink lines. The levels $v=1,2,3,4,5,6,7,8,12,16,20,24$ are drown with thick blue lines. some of intermediate levels $v=$const are shown with thin green lines.
The dashed blue line shows the level $u=\mu_0\approx 0.88560319441$ and corresponds to the value of the principal local minimum of the factorial of the real argument.
The dashed red line shows the level $u=\mu_1\approx -3.544643611$ and corresponds to the value of the first local maximum of the factorial of the real argument. |Author= Dmitrii Kouznetsov |Date= January 2009 |Source= factorialz.jpg/code |Country first published in= Japan |Copyright holder= Dmitrii Kouznetsov |Notes= |Other versions=}}
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