Math 2.0

Functions of a complex variable Singularities and residues Concept

Residue

Summary

The residue of a function at an isolated singularity cc is the coefficient of (z−c)−1(z - c)^{-1} in its Laurent series, see the definition. It is 12πi\frac{1}{2\pi i} times the integral of the function around a small circle around cc.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Residue_(complex_analysis), lead section
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Tag0PHN07KVQT
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Aliasesresidue-of-a-function
Kindconcept
WritingW1 stated
MSC30E20
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