File:Factorialz.jpg

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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.<be> 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.

Author(s)


Dmitrii Kouznetsov
Copyright holder


Dmitrii Kouznetsov
See below for license/re-use information.
Source


factorialz.jpg/code
Date created


January 2009
Country of first publication


Japan
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File history

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Date/TimeThumbnailDimensionsUserComment
current02:11, 19 January 2009Thumbnail for version as of 02:11, 19 January 20091,219 × 927 (479 KB)Dmitrii Kouznetsov (Talk | contribs){{Image notes |Description= Plot of factorial of complex argument. In the complex <math>z</math>-plane, the lines of constant <math>u=\Re(z!)</math> and the lines of constant <math>v=\Im(z!)</math> are shown. The 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 drown with thick black lines. some of intermediate levels <math>u=</math>const are shown with thin blue lines for positive values and with thin red lines for negative values.<br> The levels <math>v= -24, -20, -16, -12, -8,-7,-6,-5,-4,-3,-2,-1</math> are shown with thick red lines.<br> The level <math>v=0</math> is shown with thick pink lines.<be> The levels <math>v=1,2,3,4,5,6,7,8,12,16,20,24</math> are drown with thick blue lines. some of intermediate levels <math>v=</math>const are shown with thin green lines.<br> The dashed blue line shows the level <math>u=\mu_0\approx 0.88560319441</math> and corresponds to the value of the principal local minimum of the factorial of the real argument.<br> The dashed red line shows the level <math>u=\mu_1\approx -3.544643611</math> 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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