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Re: Can Mathematica do this?

• To: mathgroup at smc.vnet.net
• Subject: [mg79399] Re: [mg79366] Can Mathematica do this?
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Thu, 26 Jul 2007 05:24:30 -0400 (EDT)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <200707250618.CAA24226@smc.vnet.net>
• Reply-to: murray at math.umass.edu

Doesn't the Mittag-Leffler Theorem imply that ANY infinite sequence of 
points in the complex plane having no limit point ca be the set of poles 
of some meromorphic function?  But Mathematica has no way, does it, of 
returning an infinite sequence of points unless there's some rather 
regular rule describing it.

I guess the crux of the matter is in what form you would "plug in" a 
complex function to Mathematica -- with what sort of expression you 
would represent the function.


Peter Hensen wrote:
> Can Mathematica do this?
> You plug in a complex-valued function, it gives you all the poles of the 
> function on the complex plane automatically... 
> 
> 
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

• References:
  • Can Mathematica do this?
    • From: "Peter Hensen" <peter_hensen@cox.net>