Residue

Available, differs from the .wl reference

Computes the residue of an expression at a given point — the coefficient of

Forms

Residue[expr, {z, z0}]

Verified examplesResidue[1/z, {z, 0}] → 1 Residue[1/(z^2 - 1), {z, 1}] → 1/2 Residue[Exp[z]/z^3, {z, 0}] → 1/2 Residue[1/z^2, {z, 0}] → 0 Residue[1/(z^2 + 1), {z, I}] → -1/2*I Residue[Cot[z], {z, 0}] → 1 Residue[1/(z - a), {z, a}] → 1

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Topics

Functions Of Complex Variables - Integration
Rational Functions - Operations on Rational Functions

Related

ResidueSum Series Limit FunctionPoles PrincipalValue Integrate D Derivative FunctionMeromorphic Apart Cancel Denominator

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