# File:OneOverFactorial.jpg

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## Summary

 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.
The ref dashed curves represent the level  and correspond to the negative local maximum of the inverse function of the real argument.
Copyright © Dmitrii Kouznetsov.See below for licence/re-use information. 2008 Please edit this page and add the country of first publication, or note that it is unknown. the source: OneOverFactorial.jpg/code If there are other versions of this media on CZ, please list them here. Copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary. {{Image|OneOverFactorial.jpg|right|350px|Add image caption here.}} To edit the credit line, click here.
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## File history

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