Questions tagged [complex]

Questions about using complex numbers in Mathematica. This includes basic arithmetic, functions of complex numbers, plotting complex functions, and dealing with branch cuts.

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Discolored ComplexPlot ColorFunction [closed]

I have this code. ...
53 views

Complex infinity at a point and division by zero

Edit: I've found out that the book was written for Mathematica 7, which was a pretty long time ago. It boils down to changes in syntax most probably, but simple renaming to lower lettercase does not ...
50 views

Finding the negative real root of in set of solutions under a varying constraint

Suppose I have a function and its derivative like: V = x^3.5 - x*y Vx = D[V, x] I first solve V for ...
29 views

Expanding the complex conjugate of a Mathieu function as a series

In my calculations, I found this equation: ...
71 views

How can I get Mathematica to recognize that $ab^* + ba^* = 2\Re(ab^*)$?

Mathematica understands that $z + z^* = 2\Re(z)$, FullSimply[z + Conjugate[z]] (* output: 2 Re[z] *) However, Mathematica does not simplify the expression ...
39 views

Can we make a labelled parametric plot in which the parameter is integer? [closed]

Can we make a labelled parametric plot in which the parameters are integers? I'm just using Wolfram Alpha but could equally use Mathematica Online, and want something like here. I want to plot ...
127 views

How to show that $f(z) = z^2 + 1$ intersects the line through the roots of $f(z) = 0$ in ComplexPlot3D?

I have plotted the complex function $f(z) = z^2+1$ by using the following code: ComplexPlot3D[z^2+1, {z, -5 - 5 I, 5 + 5 I}] However, I want to show that $z^2+1$ intersects the line $\Re(z) = 0$. ...
708 views

Why is (-1.)^2. a complex number

Why (-1.)^2. in Mathematica returns a complex number? It looks like in both C and Fortran it returns 1. Why does Mathematica behave differently than the other ...
12k 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 ...
45 views

64 views