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four dimensioal polynomial composition

• To: mathgroup at smc.vnet.net
• Subject: [mg57165] four dimensioal polynomial composition
• From: "Christoph Lhotka" <lhotka at astro.univie.ac.at>
• Date: Thu, 19 May 2005 03:09:10 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hello !

I want to compose a four dimensional polynomial p(x,y,u,v) of some certain
degree N with four other polynomials x->px(x,y,u,v), y->py(x,y,u,v),
u->pu(x,y,u,v), v->pv(x,y,u,v) up to order N (p(px,py,pu,pv)) and extract all
monomials of some certain order, say M (with respect to lambda). For this
reason I introduce some artificial parameter lambda which holds terms together
of equal order. I implement the polynomials using the SeriesData (which now
has five expansion parameters) object and have the following question:

Is there anywhere on the net some more detailed information of dealing with
multivariates Series in Mathematica, I have not found yet.

Is there a better way, when dealing with polynomials?

Christoph

University of Vienna
Institute for Astronomy
mail. lhotka at astro.univie.ac.at