Phase Plots komplexer Funktionen - Galerie 1
Auf dieser Seite finden Sie Phasen-Plots (Phasen-Porträts) für eine Vielzahl komplexer Funktionen f mit dem Definitionsbereich D ⊂ ℂ und Wertebereich W ⊂ ℂ
f : B ⊂ D ⊆ ℂ → W ⊆ ℂ : z ↦ w
Falls nicht anders angegeben, gilt für den dargestellten Bereich
B = [-3, 3] x [-3, 3].
Die Funktionen sind nach ihrem Typ sortiert; durch Anklicken eines Typs im Kasten springen Sie direkt zu diesem. Weitere Funktionstypen finden Sie in Galerie 2 und Galerie 3.
Um die Ladezeiten kurz zu halten, wurden die JPG-Grafiken mit einer Auflösung von 1024 x 1024 Pixel bei 95% Qualität gespeichert.
Interessierte Leser(innen) können für eigene Darstellungen und Experimente auf einen Shader und weitere Informationen im Download-Bereich Galerie 3 zugreifen.
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Auf dieser Seite finden Sie Phasen-Plots (Phasen-Porträts) für eine Vielzahl komplexer Funktionen f mit dem Definitionsbereich D ⊂ ℂ und Wertebereich W ⊂ ℂ
f : B ⊂ D ⊆ ℂ → W ⊆ ℂ : z ↦ w
Falls nicht anders angegeben, gilt für den dargestellten Bereich
B = [-3, 3] x [-3, 3].
Die Funktionen sind nach ihrem Typ sortiert; durch Anklicken eines Typs im Kasten springen Sie direkt zu diesem. Weitere Funktionstypen finden Sie in Galerie 2 und Galerie 3.
Um die Ladezeiten kurz zu halten, wurden die JPG-Grafiken mit einer Auflösung von 1024 x 1024 Pixel bei 95% Qualität gespeichert.
Interessierte Leser(innen) können für eigene Darstellungen und Experimente auf einen Shader und weitere Informationen im Download-Bereich Galerie 3 zugreifen.
Klicken Sie auf ein Bild für eine vergrößerte
Ansicht und Anzeige von Einfärbe-Modell (Typ) und Bereich
B. Für eine weitere Vergrößerung klicken Sie auf die
Bildschirmlupe 
, mit den Pfeiltasten ← → am linken / rechten Bildschirmrand bewegen Sie
sich innerhalb der Galerie.
• Polynome
• Rationale Funktionen
![Phase Plot, f(z)=1/z^2 -1, Typ=0, B=[-2.5, 2.5]x[-2.5, 2.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i485ecedd768ab8ea/version/1703794109/image.jpg)
![Phase Plot, f(z)=1/z^2 -1, Typ=1, B=[-2.5, 2.5]x[-2.5, 2.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1e27f8598d2bfa47/version/1703794109/image.jpg)
![Phase Plot, f(z)=1/z^2 -1, Typ=3, B=[-2.5, 2.5]x[-2.5, 2.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/if6f60297e8bab1bf/version/1703794109/image.jpg)
![Phase Plot, f(z)=1/z^2 -1, Typ=4, B=[-2.5, 2.5]x[-2.5, 2.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i3b9725ac096f4c89/version/1703794109/image.jpg)
![Phase Plot, f(z)=1/(z^2-1), Typ=0, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ie48363ea1ef4128a/version/1703794125/image.jpg)
![Phase Plot, f(z)=1/(z^2-1), Typ=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/id582ccff5ef0b9ba/version/1703794125/image.jpg)
![Phase Plot, f(z)=1/(z^2-1), Typ=4, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1b9c2102b97fad34/version/1703794125/image.jpg)
![Phase Plot, f(z)=(z^2-i)(z•i+2) / (z^3-3), Typ=1, B=[-5, 6]x[-6, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/iaf582ba8b753a7c1/version/1703794356/image.jpg)
![Phase Plot, f(z)=(z^2-i)(z•i+2) / (z^3-3), Typ=2, B=[-5, 6]x[-6, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i10581ef100f53895/version/1703794356/image.jpg)
![Phase Plot, f(z)=(z^2-i)(z•i+2) / (z^3-3), Typ=4, B=[-5, 6]x[-6, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i6e5da51bc1ed1c9c/version/1703794356/image.jpg)
![Phase Plot, f(z)=(z^2-i)(z•i+2) / (z^3-3), Typ=6, B=[-5, 6]x[-6, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i9056e71486531ae6/version/1703794356/image.jpg)
![Phase Plot, f(z)=(z^2-2) div (z^3+1), Typ=4, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ia5b9de4a51f50016/version/1703794372/image.jpg)
![Phase Plot, f(z)=(z-1)² / (z²+z+1), Typ=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib83bc542182192df/version/1703794785/image.jpg)
![Phase Plot, f(z)=(z-1)² / (z²+z+1), Typ=4, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i5d446225a545217b/version/1703794785/image.jpg)
![Phase Plot, f(z)=(z-1)² / (z²+z+1), Typ=6, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1a4a54387950959c/version/1703794785/image.jpg)
![Phase Plot, Funktion 62, Typ=0, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i15fb42f5385f3469/version/1705833887/image.jpg)
![Phase Plot, Funktion 62, Typ=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i8bf58eb4278b0014/version/1705833887/image.jpg)
![Phase Plot, Funktion 62, Typ=4, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i7c6da5a58bc9db78/version/1705833887/image.jpg)
![Phase Plot, Funktion 62, Typ=6, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i758d2a9825b4c24d/version/1705833887/image.jpg)
![Phase Plot, Funktion 62, Typ=6, d=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i3b071cc008af094e/version/1705833887/image.jpg)
• Exponentialfunktionen
![Phase Plot, f(z)=exp(z)-z, Typ=0, B=[-25, 25]x[-25, 25]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ic26a156516dabfb2/version/1703794836/image.jpg)
![Phase Plot, f(z)=exp(z)-z, Typ=1, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ie6c9f3b003ddc9ed/version/1703794836/image.jpg)
![Phase Plot, f(z)=exp(z)-z, Typ=4, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i26d04c00b7fcec0f/version/1703794836/image.jpg)
![Phase Plot, f(z)=exp(1 div z), Typ=0, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i4bf8a8d5277ed6bb/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z²), Typ=0, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib22fe43c4e493033/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z), Typ=1, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/iac1f67925fe20637/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z²), Typ=2, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/if7b8f1b8ae7238cf/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z), Typ=4, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/id58fdc608f8057fa/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z²), Typ=4, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i5b37b65545adc01c/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z), Typ=6, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1758e6c73d50b54c/version/1704546218/image.jpg)
![Phase Plot, f(z)=exp(1 div z²), Typ=6, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ie058c4d5951b4378/version/1704546218/image.jpg)
![Phase Plot, Funktion 31, Typ=1, N=9, a=0.2, b=0.7, B=[-10, 10]x[-10, 10]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i5d250dfaa2c5d1a7/version/1704546435/image.jpg)
![Phase Plot, f(z)=ln(z), Typ=4, B=[-1.5, 4.5]x[-3, 3]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/icfe17fcfdd16b0fa/version/1704548209/image.jpg)
![Phase Plot, f(z)=ln(z), Typ=1, B=[-4.5, 1.5]x[-3, 3]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i2187441971d72130/version/1704548212/image.jpg)
![Phase Plot, f(z)=ln(z), Typ=0, B=[-1.5, 4.5]x[-3, 3]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i499cbd50bc332c31/version/1704548216/image.jpg)
![Phase Plot, Funktion 50, n=3, Typ=1, B=[-1.5, 2.5]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i2adcfecacd4472c7/version/1704753641/image.jpg)
![Phase Plot, Funktion 50, n=3, Typ=4, B=[-1.5, 2.5]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i18b6452f14612db8/version/1704753642/image.jpg)
![Phase Plot, Funktion 50, Typ=0, B=[-1.5, 2.5]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ic493d5369e740c24/version/1704753641/image.jpg)
![Phase Plot, Funktion 50, Typ=4, B=[-1.5, 2.5]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib45fe38fcfc03196/version/1704753593/image.jpg)
![Phase Plot, Funktion 501, n=2, Typ=0, B=[-10, 10]x[-10, 10]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i2381290c769962d7/version/1704753039/image.jpg)
![Phase Plot, Funktion 501, n=2, Typ=1, B=[-10, 10]x[-10, 10]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i7a6e13efda682016/version/1704753039/image.jpg)
![Phase Plot, Funktion 501, n=2, Typ=4, B=[-10, 10]x[-10, 10]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i7b73052c4c342b76/version/1704753039/image.jpg)
![Phase Plot, Funktion 501, n=3, Typ=0, B=[-10, 10]x[-10, 10]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i3c33fedcc728e774/version/1704753152/image.jpg)
![Phase Plot, Funktion 501, n=3, Typ=1, B=[-50, 50]x[-50, 50]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i31a3785c8b0dd461/version/1704753152/image.jpg)
![Phase Plot, Funktion 501, n=3, Typ=4, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i73fd6d10ace0e940/version/1704753152/image.jpg)
![Phase Plot, Funktion 501, n=5, Typ=0, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i11dfc3a3d30a4a7c/version/1704753152/image.jpg)
![Phase Plot, Funktion 501, n=5, Typ=4, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/id6a3ca031c2d0e51/version/1704753152/image.jpg)
![Phase Plot, Funktion 501, n=5, Typ=6, B=[-5, 5]x[-5, 5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i7f189f39b2dd6f07/version/1704753152/image.jpg)
![Phase Plot, f(z)=exp(1-z²)-1, Typ=0, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1c7c09bc0a2b7540/version/1705832575/image.jpg)
![Phase Plot, f(z)=exp(1-z²)-1, Typ=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i8b88d743a9b1ce6a/version/1705832575/image.jpg)
![Phase Plot, f(z)=exp(1-z²)-1, Typ=4, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib4f6c4371a99568d/version/1705832575/image.jpg)
![Phase Plot, f(z)=exp(1-z²)-1, Typ=6, B=[-1.5, 1.5]x[-1.5, 1.5]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib1a63d26f80afb8f/version/1705832575/image.jpg)
• Wurzelfunktionen
![Phase Plot, f(z)=sqrt(z), Typ=0, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i460439b384c549de/version/1705578980/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=1, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ibf804974c4f56cde/version/1705578980/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=2, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i9705940e8887e3e7/version/1705578980/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=4, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ib8ce68e29f5c5b6b/version/1705578980/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=6, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ide9284fc03143757/version/1705578980/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=0, 2. Lösung, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i0ea910396fc8b828/version/1705579082/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=1, 2. Lösung, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ia5fa51d165086123/version/1705579082/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=2, 2. Lösung, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i369b3e6b2e5e3c04/version/1705579082/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=4, 2. Lösung, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i3eb5da4549a128d1/version/1705579082/image.jpg)
![Phase Plot, f(z)=sqrt(z), Typ=6, 2. Lösung, B=[-4, 4]x[-4, 4]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i6cec3178dffc06a0/version/1705579082/image.jpg)
p = -1 ... 1
p = -1 ... 1
p = -1 ... 1
p = -1 ... 1
p = -1 ... 1
p = -1 ... 1
![Phase Plot, f(z)=sqrt(1- 1 div z² +z³), Typ=0, B=[-2, 2]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i277fffa842664c25/version/1705579297/image.jpg)
![Phase Plot, f(z)=sqrt(1- 1 div z² +z³), Typ=1, B=[-2, 2]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/ide0ddae6a9b12773/version/1705579297/image.jpg)
![Phase Plot, f(z)=sqrt(1- 1 div z² +z³), Typ=2, B=[-2, 2]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/if6561a1a7e66e0f2/version/1705579297/image.jpg)
![Phase Plot, f(z)=sqrt(1- 1 div z² +z³), Typ=4, B=[-2, 2]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i1d45f4b61264b032/version/1705579297/image.jpg)
![Phase Plot, f(z)=sqrt(1- 1 div z² +z³), Typ=6, B=[-2, 2]x[-2, 2]](https://image.jimcdn.com/app/cms/image/transf/none/path/scee86bccd27a6ab2/image/i507a5448bcbdd7ad/version/1705579297/image.jpg)
