Category:Complex functions

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Subcategories

This category has the following 11 subcategories, out of 11 total.

C

Complex color plots (8 C, 183 F)
Complex rational maps (2 C, 1 P, 61 F)
Conformal transformation of the complex plane tiled by a clock (24 F)

D

Dirichlet series (4 F)

G

Complex gamma and related functions (2 C, 8 F)

H

Hurwitz zeta function (6 F)

M

Mittag-Leffler function (10 F)

R

Riemann zeta function (2 C, 99 F)

S

Surface plots of complex functions (5 C, 86 F)

T

Transcendental entire function (1 C, 10 F)

V

Vector field plots of complex functions (18 F)

Pages in category "Complex functions"

This category contains only the following page.

I

User:Ingo Sturm

Media in category "Complex functions"

The following 81 files are in this category, out of 81 total.

2008analuxpFig1d.jpg 681 × 315; 81 KB
A plot of the cschc function cschc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 1,338 × 1,245; 1.93 MB
A plot of the sechc function Sechc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 700; 766 KB
Ackermann-complex.svg 800 × 300; 493 KB
AckermannComplexFig2a.jpg 1,267 × 449; 160 KB
Complex mapping.jpg 567 × 321; 25 KB
Complex mapping.svg 531 × 301; 15 KB
Contour z.gif 245 × 328; 171 KB
Contour z^-1.gif 245 × 328; 190 KB
Contour z^2.gif 245 × 328; 522 KB
Contour z^3-1.gif 245 × 328; 1.04 MB
Contour z^3.gif 245 × 328; 1.05 MB
ContourExp.gif 245 × 328; 289 KB
ContourLog.gif 245 × 328; 206 KB
ContourSin.gif 245 × 328; 312 KB
ContourTan.gif 245 × 328; 271 KB
Dipl.-Ing. Ingo Sturm Julia-Mange generiert aus c-Punkt = -7.3034e-1 + i0.0000e+0 der Mandelbrot-Menge zur Potenz 1.5.png 2,298 × 1,430; 994 KB
Dipl.-Ing. Ingo Sturm Julia-Menge generiert aus cPunkt=(-0,2989 -i0,6379) der Mandelbrot-Menge.png 1,214 × 698; 179 KB
Dipl.-Ing. Ingo Sturm Julia-Menge in positiver Darstellung generiert aus Mandelbrot-Menge mit gebrochenem Exponent 2.5.png 2,370 × 1,384; 1,019 KB
Dipl.-Ing. Ingo Sturm- Julia-Menge generiert aus Web-App.png 1,146 × 695; 98 KB
Einzelne Iterationsfolge f(z) = z^2 + c.png 2,366 × 1,440; 432 KB
ExampleOfComplexPowerFunction.png 742 × 352; 9 KB
F(t)=(1+i)t.gif 368 × 396; 306 KB
F(t)=-t.gif 368 × 396; 265 KB
F(t)=3%(t-i).gif 368 × 396; 344 KB
F(t)=exp((-1%3+2i)t).gif 368 × 396; 697 KB
F(t)=exp(2it)+t.gif 368 × 396; 454 KB
F(t)=exp(it)+cos(t).gif 368 × 396; 356 KB
F(t)=exp(it).gif 368 × 396; 317 KB
F(t)=it.gif 368 × 396; 300 KB
F(t)=t%2.gif 368 × 396; 263 KB
F(t)=t.gif 368 × 396; 263 KB
F(t)=t^2%5.gif 368 × 396; 273 KB
G-Contour-for-Nyquist-plot.png 142 × 193; 5 KB
Julia-Menge "Dipolfeldlinien" mit reziprokem z durch Web-App "Mandelbrot & Julia" von Ingo Sturm generiert.png 2,298 × 1,430; 3.52 MB
Julia-Menge in Counter Darstellung mit gebrochener Potenz 1.5 erzeugt durch Web-App Mandelbrot und Julia von Dipl.-Ing. Ingo Sturm.png 1,146 × 695; 489 KB
Julia-Menge in positiver Darstellung mit gebrochenem Exponenten 1,5 generiert durch Web-App von Dipl.-Ing. Ingo Sturm.png 1,146 × 695; 131 KB
Julia-Menge zur fünften Potenz in positiver Darstellung.png 1,146 × 695; 164 KB
Julia-Menge zur Potenz 1,5 in Counter Darstellung mit Konvergenzpunkt.png 1,146 × 695; 497 KB
Juliamenge mit reziproker komplexer Zahl z.png 1,158 × 720; 1.77 MB
Mandelbrot-Menge mit negativer Potenz in positiver Darstellung.png 1,146 × 695; 682 KB
Mandelbrot-Menge zur vierten Potenz in Counter-Darstellung.png 1,146 × 695; 491 KB
Modell des Graphen von 6w=eˆ(1-6z) -Schilling XIV, 6 - 312- (2).jpg 2,816 × 2,112; 565 KB
Principle branch of arg on plane.png 280 × 279; 19 KB
Q function complex plot plotted with Mathematica 13.1 ComplexPlot3D.svg 2,170 × 2,076; 3.89 MB
QFactorialQexp.jpg 1,152 × 574; 399 KB
Tetration analytic extension.svg 710 × 340; 183 KB
Tetration escape.png 1,024 × 768; 42 KB
Tetration period.png 1,024 × 768; 51 KB
The binary logarithm function lg(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,489; 4.25 MB
The cardinal cosecant function cscc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.23 MB
The cardinal hyperbolic cosecant function cschc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.73 MB
The cardinal hyperbolic cosine function coshc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,480; 5.36 MB
The cardinal hyperbolic cotangent function cothc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.66 MB
The cardinal hyperbolic secant function sechc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 6.68 MB
The cardinal hyperbolic sine function sinhc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,485; 4.04 MB
The cardinal hyperbolic tangent function tanhc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,468; 4.52 MB
The cardinal sine function sinc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,485; 3.68 MB
The cosecant function csc(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,474; 4.78 MB
The cosine function cos(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.13 MB
The cotangent function cot(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,464; 4.51 MB
The cube function plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,479; 6.89 MB
The decimal logarithm function logbase(10,z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,474; 4.22 MB
The exponential function e^z plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 3.7 MB
The fourth power function z^4 plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,478; 7.82 MB
The hyperbolic cosecant function csch(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,474; 4.59 MB
The hyperbolic cosine function cosh(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.84 MB
The hyperbolic cottangent function coth(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,464; 4.39 MB
The hyperbolic secant function sech(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.09 MB
The hyperbolic sine function sinh(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.76 MB
The hyperbolic tangent function tanh(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.3 MB
The natural logarithm function ln(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.25 MB
The product logarithm Lambert W function plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,475; 3.89 MB
The product logarithm Lambert W function W 2(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,479; 1.98 MB
The secant function sec(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 5.01 MB
The sine function sin(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.83 MB
The square function plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,479; 5.71 MB
The tangent function tan(z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.78 MB
The ternary logarithm function logbase(3,z) plotted in the complex plane from -2-2i to 2+2i.svg 2,548 × 2,488; 4.25 MB
Wavepacket-a2k4-en (2X speed).gif 640 × 380; 980 KB
WeierstrassDarstellung.png 346 × 520; 39 KB

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