nLab
residue

Contents

Idea

The residue of a meromorphic function ff at some point ζ\zeta \in \mathbb{Z} is the coefficient of (zζ) 1(z - \zeta)^{-1} (the first order pole) of its Laurent series expansion around ζ\zeta. Up to a prefactor, this is what is picked up by the contour integral around that point, accrding to the Cauchy integral formula.

References

Last revised on September 6, 2017 at 11:11:04. See the history of this page for a list of all contributions to it.