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 6Complex analysisRelated: Its negative-power terms describe behavior near isolated singularities.Analytic continuationRelated: It represents continuations near isolated singularities where Taylor series fail.Cauchy's integral formulaRelated: The formula’s extension to punctured regions is closely connected to Laurent expansions.Meromorphic functionRelated: Its negative-power terms encode a meromorphic function's behavior near each pole.Formal power seriesRelated: It extends power-series algebra to include finitely many negative powers.Residue theoremRelated: Its coefficient of the −1 power is the local quantity summed by the theorem.Removable singularityRelated: The singularity is removable exactly when all negative-power terms vanish.Jacobi triple productRelated: The bilateral expansion is naturally a Laurent series in the variable.Hartogs extension theoremRelated: In one variable, negative powers describe isolated singularities that obstruct extension.Gösta Mittag-LefflerRelated: Its principal parts describe the local behavior that the Mittag-Leffler theorem assembles globally.Casorati–Weierstrass theoremRelated: An essential singularity is characterized by infinitely many negative-power terms in its Laurent series.