KnowraRemovable singularityLinked fromLinked fromThe 9 pages that link to Removable singularity, each with the reason it gives.All 9Broader topic 2Related 3Compared with 4Laurent seriesBroader topic: Its Laurent expansion has no negative-power terms, so it is a Taylor series after extension.Meromorphic functionCompared with: Unlike a pole, a removable singularity does not make the function's magnitude diverge.ResidueCompared with: Its Laurent series has no negative powers, so its residue is zero.Branch pointCompared with: A removable singularity has no persistent obstruction to single-valued extension.Hartogs extension theoremRelated: Hartogs extension generalizes removability from isolated points to certain compact holes in higher dimensions.Casorati–Weierstrass theoremCompared with: A removable singularity has controlled local behavior, unlike the theorem’s essential case.Morera's theoremRelated: Morera's criterion can establish holomorphy of an extension when its integrals across the point vanish.Analyticity of holomorphic functionsBroader topic: A bounded punctured neighborhood permits a Taylor expansion after filling in the missing point.Weyl's lemmaRelated: Distributional formulations can help establish harmonic extension across negligible exceptional sets.