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MathGroup Archive 2006

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p-th power of quartic polynom of the n variables

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66867] p-th power of quartic polynom of the n variables
  • From: "Pi" <3.14159 at seznam.cz>
  • Date: Fri, 2 Jun 2006 04:08:32 -0400 (EDT)
  • Organization: Czech Technical University
  • Sender: owner-wri-mathgroup at wolfram.com

I am looking for general formula of the polynom coeficients, which 
corresponds to the  p-th (integer) power of the quartic polynom of n 
variables,
Q(n,x) = a_ijkl*x_i*x_j*x_k*x_l + b_ijk*x_i*x_j*x_k + c_ij*x_i*x_j + d_i*x_i 
+ e
where Eisntein sumation convetion is apllied, i,j,k,l = 1,  ..., n (n ... 
number of variables), a,b,c,d and e are real (or integer) coeficients

I am looking for analytic expresions of the coeficients correponding to the 
expanded Q^p, where p is integer power.

Michal Kvasnicka 



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