File:TetrationBiholomorphic.jpg: Difference between revisions

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imported>Caesar Schinas
m (Bot: Replace Template:Image_notes_* with Template:Image_Details)
(== Summary == Importing file)
Tag: Server-side upload
 
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== Summary ==
== Summary ==
{{Image_Details|user
Importing file
|description  = Image of the upper halfplane with function kslog.
The upper half-plane is mapped into the shaded region. For <math>z</math> in the shaded region,
<math>\mathrm{kslog}\big(\mathrm{tet}(z)\big)=z</math>, and for the whole upper complex halfplane,
<math>\mathrm{tet}\big(\mathrm{tet}(z)\big)=z</math>.
Point
<math>z=L\approx  0.318131505204764135312654+1.33723570143068940890116 ~ {\rm i}</math> maps  to itself.
images of the gridlines
<math> \Re(z)=-1,0,\Re(L), 1,2,3</math> and
<math> \Im(z)=1,\Im(L), 1,2,3,4</math> are shown.
the range
<math>-\infty<z\infty</math> maps to the range
<math>-2<z\infty</math>.
|author      = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
|date-created = 2008
|pub-country  =
|notes        = I upload it for use in the article [[tetration]]
|versions    =
}}
== Licensing/Copyright status ==
{{CC|by-nd|3.0}}

Latest revision as of 18:55, 11 March 2022

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