File:Factorialz.jpg: Difference between revisions

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imported>Dmitrii Kouznetsov
({{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> T...)
 
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== Summary ==
== Summary ==
{{Image notes
Importing file
|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=}}
== Licensing/Copyright status ==
{{CC-by-1.0}}

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