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One of the nicest things about Mathematica is that one can often just implement the definitions as they are: bilateralZTransform[c_, k_, z_, opts___] := Sum[c/z^k, {k, -∞, ∞}, opts] Otherwise, one can exploit the relationship between GeneratingFunction[] and ZTransform[]: bilateralZTransform[c_, k_, z_, opts___] := ...



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