How Can We Calculate Coefficients in Multivariable Laurent Series?

[zetafunction]

can we define a multivariable power series (laurent series)

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

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

how could i calculate the coefficients ?? a_{i,j,k,l} ?

 

[g_edgar]

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.