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Wire frame cylinder in complex plane?
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I.N. Galidakis
Mar 14, 2012, 2:48:00 PM3/14/12
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Hi everyone,
I need to delimit the analyticity region of a complex transform. When the region
is a circle, I simply use something like:
q:=implicitplot3d(x^2 + y^2=
exp(-1)^2,x=-1..1,y=-1..1,z=0..6,style=wireframe,color=black,numpoints=1000):
and then merge the q plot with the other complexplot3d's, with:
display(p1,p2,...,q);
where pi:=complexplot3d(...);
The region of analyticity of a particular transform I have now, is described by:
complexplot(M(exp(I*theta)),theta=0..2*Pi,scaling=constrained);
where:
M:=z->exp(z*exp(-1));
How can I make a wireframe cylinder in this case to indicate the region of
analyticity and merge its plot with the rest of my complexplot3d plots?
Many thanks,
--
I.
I need to delimit the analyticity region of a complex transform. When the region
is a circle, I simply use something like:
q:=implicitplot3d(x^2 + y^2=
exp(-1)^2,x=-1..1,y=-1..1,z=0..6,style=wireframe,color=black,numpoints=1000):
and then merge the q plot with the other complexplot3d's, with:
display(p1,p2,...,q);
where pi:=complexplot3d(...);
The region of analyticity of a particular transform I have now, is described by:
complexplot(M(exp(I*theta)),theta=0..2*Pi,scaling=constrained);
where:
M:=z->exp(z*exp(-1));
How can I make a wireframe cylinder in this case to indicate the region of
analyticity and merge its plot with the rest of my complexplot3d plots?
Many thanks,
--
I.
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