The '''complex residue''' of a complex function ''f''(''z'') is the coefficient of the <math>1 \over z</math> term in ''f''(''z'')'s [[Laurent series]] expansion.
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The '''complex residue''' or simply '''residue''' of a meromorphic function ''f''(''z'') is the coefficient of the <math>1 \over z</math> term in ''f''(''z'')'s [[Laurent series]] expansion.