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Let $U \subset \mathbb{C}$ be a domain and let $f: U \longrightarrow \mathbb{C}$ be a function represented by a Laurent series $$ f(z) := \sum_{k=-\infty}^\infty c_k (z-a)^k $$ centered about $a$ The coefficient $c_{-1}$ of the above Laurent series is called the residue of $f$ at $a$ and denoted $\operatorname{Res}(f;a)$
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"residue" is owned by djao.
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Cross-references: coefficient, Laurent series, function, domain
There are 28 references to this entry.
This is version 3 of residue, born on 2001-12-28, modified 2006-10-12.
Object id is 1153, canonical name is Residue.
Accessed 7537 times total.
Classification:
| AMS MSC: | 30D30 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Meromorphic functions, general theory) |
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Pending Errata and Addenda
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