File:Tetration analytic extension.svg

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English: Portrait of the analytic extension of en:tetration f=F(x+iy) as solution of equation exp(F(z))=F(z+1) to the complex z-plane. levels abs(f)=exp(0), exp(±1) , exp(±2), .. and levels arg(f)=0, ±1, ±2, ±3 are shown with thick lines. This image seems to be the only drawing of analytic tetration, available in web under free license.
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Source http://www.ils.uec.ac.jp/~dima/PAPERS/2008analuxp.pdf, figure 1d.
Author Dmitrii Kouznetsov
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http://www.ils.uec.ac.jp/~dima/PAPERS/: "I allow you to use figures from my papers and presentations under condition that the source is attributed and modifications (if any) are indicated"
Other versions File:2008analuxpFig1d.jpg
© The copyright holder of this file, Dmitrii Kouznetsov, allows anyone to use it for any purpose, provided that the copyright holder is properly attributed. Redistribution, derivative work, commercial use, and all other use is permitted.
Attribution:
Dmitrii Kouznetsov

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current19:14, 25 March 2010Thumbnail for version as of 19:14, 25 March 2010710 × 340 (183 KB)Quibik{{Information |Description={{en|Portrait of the analytic extension of en:tetration ''f''=''F''(''x''+i''y'') as solution of equation exp(''F''(''z''))=''F''(''z''+1) to the complex ''z''-plane. levels abs(''f'')=exp(0), exp(±1) , exp(±2), .. and le
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