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Multivariable Laurent Series

  1. Apr 7, 2010 #1
    can we define a multivariable power series (laurent series)

    [tex] \sum_{i,j,k,l,.....=-\infty}^{\infty}a_{i,j,k,l,......}(X-a)^{i}(Y-b)^{j}(Z-c)^{k}(W-k)^{l}.... [/tex]

    indices i,j k and l run over ALL the integers positive and negatives

    how could i calculate the coefficients ?? [tex] a_{i,j,k,l} [/tex] ?????
  2. jcsd
  3. Apr 7, 2010 #2
    Can you already do simpler cases? For example, only nonnegative exponents? Or just two variables? If not, work on those before you tackle this one.
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