Can All Functions Be Plotted on a Complex Plane?

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complex plane

Hello, I was wondering if there are only specific types of forumlas that you can graph on a complex plane. I mean can you only plot recursive sequences such as the Mandelbrot Set or can you also plot x,y equations while just ignoring the real part of the y output.
Thanks,
-scott
 
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Well, to start off, the "only" difference between the complex plane and the standard xy-plane is how the dot product is defined. Now how the plot functions can be used depending of the software is a vague question.
Fractals, as you mentionned, use the imaginary part of the number(and its properties) in a way that no xy-plane can, even if it can plot recursive functions.
 

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