Osgood's lemma

GPTKB entity

Statements (12)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo holomorphic functions
gptkbp:field complex analysis
https://www.w3.org/2000/01/rdf-schema#label Osgood's lemma
gptkbp:namedAfter gptkb:William_Fogg_Osgood
gptkbp:publicationYear 1899
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo gptkb:Montel's_theorem
normal family
gptkbp:sentence If a sequence of holomorphic functions converges pointwise on an open set, and the limit is continuous, then the convergence is uniform on compact subsets.
gptkbp:bfsParent gptkb:William_F._Osgood
gptkbp:bfsLayer 5