Has anyone come across this artical?

https://jdc.math.uwo.ca/roots/

Massive graphing, they said that this was created partially in the wolfram lanuage. We can't them get a leg up on us Maple code. Help me understand this in our native Maple tounge.

with(plots);
f := x -> x^3 + 3^x;
complexplot3d(f, -15 - 22*I .. 15 + 22*I);

This gives good color graph however I would like to see it like the way this cat graphed it.

https://www.quora.com/How-do-I-solve-for-x-in-x-3-3-x-17

Let a,b,c,d and E be constants.

Prove that Laplace{at^-c+bt^-d} = E{as^-c+bs^-d}

if and only if c+d=1 and E= +or-  sqr(pi*csc(c*pi))

Given the property of Gamma:

Gamma(p)Gamma(1-p)=pi/(sin(p*pi)), 0<p<1

This is from an old Schaums outline on Laplace Transforms.

By hand i get  E{as^-d+bs^-c}.

Cant figure out how to get Maple to express this.