File:OneOverFactorial.jpg

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Summary

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Title / Description


Entire function in the complex -plane.

The lines of constant and the lines of constant are drawn.
The levels are shown with thick black lines.
The levels are shown with thick red lines.
The level is shown with thick pink line.
The levels are shown with thick blue lines.
Some of intermediate elvels const are shown with thin red lines for negative values and thin blue lines for the positive values.
Some of intermediate elvels const are shown with thin green lines.
The blue dashed curves represent the level and correspond to the positive local maximum of the inverse function of the real argument.</br> The ref dashed curves represent the level and correspond to the negative local maximum of the inverse function of the real argument.</br>

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Copyright © Dmitrii Kouznetsov.
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Date created


2008
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Notes


the source: OneOverFactorial.jpg/code
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File history

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Date/TimeThumbnailDimensionsUserComment
current02:50, 19 January 2009Thumbnail for version as of 02:50, 19 January 20091,244 × 949 (276 KB)Dmitrii Kouznetsov (Talk | contribs){{Image notes ownworkpro |Description=Entire function <math>f(z)=1/z!</math> in the complex <math>z</math>-plane. The lines of constant <math>u=\Re(f(z)</math> and the lines of constant <math>v=\Im(f(z)</math> are drawn.<br> The levels <math>u=-24,-20,-16,-12,-8,-7 .. 7,8,12,16,20,24</math> are shown with thick black lines.<br> The levels <math>v=-24,-20,-16,-12,-8,-7 ... 7,-1</math> are shown with thick red lines.<br> The level <math>v=0</math> is shown with thick pink line.<br> The levels <math>v=1,2, ... 7,8,12,16,20,24</math> are shown with thick blue lines.<br> Some of intermediate elvels <math>u=</math>const are shown with thin red lines for negative values and thin blue lines for the positive values.<br> Some of intermediate elvels <math>v=</math>const are shown with thin green lines.<br> The blue dashed curves represent the level <math>u=1/\mu_0</math> and correspond to the positive local maximum of the inverse function of the real argument.</br> The ref dashed curves represent the level <math>u=1/\mu_1</math> and correspond to the negative local maximum of the inverse function of the real argument.</br> |CZ username= Dmitrii Kouznetsov |Year created= 2008 |Notes= the source: OneOverFactorial.jpg/code |Other versions=}}
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