KnowraLaurent seriesLinked fromLinked fromThe 21 pages that link to Laurent series, each with the reason it gives.All 21Broader topic 3Related 11Narrower topic 1Compared with 6Taylor seriesCompared with: Laurent series can represent functions near singularities where an ordinary Taylor series cannot.Power seriesCompared with: Unlike an ordinary power series, it can represent functions near isolated singularities.Taylor's theoremCompared with: It handles isolated singularities where an ordinary Taylor expansion may fail.Taylor polynomialCompared with: It can represent singular behavior that an ordinary Taylor polynomial cannot capture.Binomial seriesCompared with: The binomial series uses only nonnegative powers of \(x\), unlike expansions around punctured neighborhoods.Analyticity of holomorphic functionsCompared with: When a holomorphic Taylor expansion fails at an isolated singularity, Laurent terms describe the local behavior.