File:LogFactorialZ.jpg: Difference between revisions
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imported>Dmitrii Kouznetsov ({{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 thi...) |
imported>Dmitrii Kouznetsov m (misprints) |
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== Summary == | == Summary == | ||
{{Image notes ownworkpro | {{Image notes ownworkpro | ||
|Description=LogFactorial(z) in the | |Description=LogFactorial(z) in the complex z-plane.<br> | ||
Levels of constant <math>u=\Re(\mathrm{LogFactorial}(z)</ | Levels of constant <math>u=\Re(\mathrm{LogFactorial}(z))</math> and | ||
Levels of constant <math>v=\Im(\mathrm{LogFactorial}(z)</ | Levels of constant <math>v=\Im(\mathrm{LogFactorial}(z))</math> 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=-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= | Levels <math>u= | ||
Line 14: | Line 14: | ||
1.2,1.4,1.6,1.8 | 1.2,1.4,1.6,1.8 | ||
2.2,2.4,1.6,2.8 | 2.2,2.4,1.6,2.8 | ||
3.2,3.4,3.6,3.8</math> are shown with thin | 3.2,3.4,3.6,3.8</math> are shown with thin blue 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> | 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> | Level <math>v=0</math> is shown with thick pink line.<br> |
Revision as of 05:02, 21 January 2009
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