In complex analysis, a branch of mathematics, the residue at infinity is a residue of a holomorphic function on an annulus having an infinite external radius. The infinity ∞ {\displaystyle \infty } is a point added to the local space C {\displaystyle \mathbb {C} } in order to render it compact (in this case it is a one-point compactification).
In complex analysis, a branch of mathematics, the residue at infinity is a residue of a holomorphic function on an annulus having an infinite external radius. The infinity ∞ {\displaystyle \infty } is a point added to the local space C {\displaystyle \mathbb {C} } in order to render it compact (in this case it is a one-point compactification).
Source: Wikipedia "Residue at infinity" · CC BY-SA 4.0
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