Linked Questions

0 votes
1 answer
847 views

Plotting 3D complex numbers with colours [duplicate]

I am new to Mathematica and am taking a course in Complex Analysis. I was wondering how to do the following: Plot in 3D (using Plot3D) the real part of f(x+Iy) and then colouring the corresponding 3D ...
18 votes
3 answers
19k views

Plotting complex Sine

I've got another plotting problem. I want to plot Sin[z] where z is complex. So, I've tried the following: ...
10 votes
5 answers
15k views

How can I plot the complex graph of $x^x$ in Mathematica?

For example, this Wolfram Alpha query shows this graph: But it does not show the code for plotting it in Mathematica. Plot[x^x, {x, -1, 1}] only plots the real ...
1 vote
1 answer
3k views

Plotting a function of one variable in a 3d dimensional complex space

I would like to plot graphs of functions like this: $ f(x)=x^2 +1 $ But in a tridimensional complex space. It should look like this: I am not sure if this has been asked before (Plotting Complex ...
0 votes
1 answer
87 views

Why Does Mathematica Have Trouble Plotting This?

I'm trying to Plot something relatively simple: ...
0 votes
0 answers
29 views

Plotting a function on a complex plane [duplicate]

I am new to Mathematica and I would like to know how to plot a complex function, say $f(z) = \frac{-z}{z^2 - 1}$ for $|z|<1$?
2 votes
1 answer
908 views

Plotting Zeros of a Complex Variable

I'm trying to plot the zeros within a certain distance from the origin using Mathematica of a given function (in my case, partial sums of the Zeta Function). I've tried plugging in simple functions, ...
1 vote
0 answers
118 views

Residue simplifies to ComplexInfinity

I have Residue calculation that depends on a parameter r, for which I assume ...
3 votes
1 answer
4k views

How to plot a complex functions

I am new to mathematica. I am trying to plot a complex function, though my function is complicated one I am trying to start from a basic one. Suppose I have a function ...
1 vote
1 answer
6k views

How can I plot a result of Laplace Transform? [duplicate]

Is it possible to Plot the output of LaplaceTransform with Mathematica? Obviously when I apply ...
5 votes
2 answers
185 views

Color Space issue with Graphics [duplicate]

When trying to code complex numbers into colors by e.g. using brightness as absolute value and hue as phase angle of a complex number (see one of the answers to the following question), I stumbled ...
0 votes
2 answers
119 views

Unable to plot function with exponentials or to find all roots [duplicate]

I am not able to Plot[(-1)^x + 2^x - 2 x - 1, {x, -4, 4}] directly. Some rework might be needed with complex branch cuts perhaps. There are real roots at $ x=3, ...
0 votes
1 answer
221 views

Empty plot when calling the SphericalHarmonicY function in Plot or SphericalPlot3D [duplicate]

I'm getting an empty plot for the following code: SphericalPlot3D[ 2*Pi*Sin[theta]*SphericalHarmonicY[100, 50, theta, phi], {theta, 0, 2*Pi}, {phi, 0 , Pi}] ...
1 vote
2 answers
8k views

How to plot in the complex plane? [duplicate]

I am new to Mathematica and I would like to ask how to plot in the complex plane in general. Also, as an example, how do you plot $e^{i\theta}$ in Mathematica? In physics the function $e^{i\theta}$ is ...
3 votes
1 answer
687 views

Polar color coding for complex function plots?

Having browsed this Q on plotting complex functions and the Zeta page, I don't see anything as nice as this plot from Matilde Marcolli's slides "Geometry and physics of numbers". Looks like ...

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