On Sep 14, 11:40 am, sps <[email protected]> wrote:
> So you say, I have to digit this:
> maxima_console()

Not exactly.  What I am saying is that Sage uses Maxima, another open
source mathematics program, to do symbolic summation.  I used Sage's
instance of this program to see what happened with the underlying
command which is passed to Maxima - and it turns out that the result
is a hypergeometric function; since you like Wikipedia, here is their
site about this http://en.wikipedia.org/wiki/Hypergeometric_function

> What's the meaning of the previous texts? Maxima hypergeometric? Can
> you post a clear sequence of command to give sage to have result?

This is the best Sage can currently do, probably because it lacks
native support for hypergeometric functions (?).  It looks like Maxima
can do this, though, using the syntax I describe.  You can always use
a Maxima session from inside Sage by doing maxima_console(), or in the
notebook with %maxima at the beginning of a cell.


> > > Can I find radius of convergence of series? How?
>
> > Can you give a more explicit example of what you'd like to calculate?
>
> Fromhttp://en.wikipedia.org/wiki/Radius_of_convergenceyou can see
> what I want to calculate: for example the series 2^n/n^2+(z-3+I)^n,
> what is its radius of convergence?

I see.  I don't know how easy this might be in general, except of
course by using the usual tests.   The thread
http://www.mail-archive.com/[email protected]/msg06784.html
seems to have something related, though I think it focuses on
inequalities.

Someone else might know more; I don't think this is built in
functionality.

- kcrisman

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