File:TetrationBiholomorphic.jpg: Difference between revisions

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imported>Dmitrii Kouznetsov
({{Image notes ownworkpro |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...)
 
(== Summary == Importing file)
Tag: Server-side upload
 
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== Summary ==
== Summary ==
{{Image notes ownworkpro
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>.
|CZ username= Dmitrii Kouznetsov
|Year created=2008
|Notes=I upload it for use in the article [[tetration]]
|Other versions=}}
== Licensing/Copyright status ==
{{CC-by-nd-3.0}}

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