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3DPlot not working for a function that contains complex solutions

Posted 3 months ago

Hi everyone!
I'm trying to use the 3D plot function, but since my function is non-trivial, I'm not having success, because I'm not sure about the domain (x,y) that makes f(x,y) real.

f[x_, y_] = ((2 e^-x y)/pi) tanh^-1 (x^2/(x^4 - y^4)^(1/2))
Plot3D[f[x, y], {x, a, b}, {y, c, d}]
POSTED BY: C goulart

It seems that your function has indeed empty domain in the reals:

f[x_, y_] = ((2 E^-x y)/Pi) ArcTanh[x^2/(x^4 - y^4)^(1/2)];
FunctionDomain[f[x, y], {x, y}, Reals]
% // Reduce
POSTED BY: Gianluca Gorni
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