Ironically, I did something just like this at a talk this week.  But I
used something like

lambda x,y: abs(zeta(x+i*y))

(actually not that, but I hope that will work).

At least one of these should really be implemented as complexplot3d or
something like that.   Does that seem like a useful function to have
around?

- kcrisman

On May 30, 9:13 pm, littlemathteacher <[email protected]> wrote:
> Thanks a lot. Much simpler than I thought it would be. Very fine
> instructive example.
> Yours, littlemathteacher.
>
> On 30 Mai, 17:49, Jason Grout <[email protected]> wrote:
>
> > littlemathteacher wrote:
> > > Dear Supporters,
>
> > > first of all thanks to you all for doing such a great support job to
> > > me so far.
>
> > > Now I want to make complex analysis visible and to plot 3d-graphics
> > > either of real or imaginary parts of functions.
>
> > > The first step would be to plot the exponential function just like in
> > > the german or the us wikipedia article, later to show the branch cuts
> > > like in
>
> > >http://mathworld.wolfram.com/BranchCut.html
>
> > > or the gamma function like in
>
> > >http://mathworld.wolfram.com/GammaFunction.html.
>
> > > The reason why my attemps fail might lie somwhere in the defining of
> > > variables and in the picking out of the real or the imaginary part.
>
> > > I guess all I need is one working example of how to 3dplot let's say
> > > complexplane X real part of the function value.
>
> > > Starting from that example I could do the rest myself, but I didn't
> > > find one yet.
>
> > > Could you please post a link to an example?
>
> > And here's the imaginary part:
>
> > sage: plot3d(lambda x,y: arcsin(x+y*I).imag(), (-2,2), (-2,2))
>
> > Jason
> > --
> > Jason Grout
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