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- Domain_of_holomorphy abstract "In mathematics, in the theory of functions of several complex variables, a domain of holomorphy is a set which is maximal in the sense that there exists a holomorphic function on this set which cannot be extended to a bigger set. Formally, an open set in the n-dimensional complex space is called a domain of holomorphy if there do not exist non-empty open sets and where is connected, and such that for every holomorphic function on there exists a holomorphic function on with on In the case, every open set is a domain of holomorphy: we can define a holomorphic function with zeros accumulating everywhere on the boundary of the domain, which must then be a natural boundary for a domain of definition of its inverse. For this is no longer true, as it follows from Hartogs' lemma.".
- Domain_of_holomorphy thumbnail Domain_of_holomorphy_illustration2.png?width=300.
- Domain_of_holomorphy wikiPageID "3236377".
- Domain_of_holomorphy wikiPageRevisionID "578035022".
- Domain_of_holomorphy hasPhotoCollection Domain_of_holomorphy.
- Domain_of_holomorphy id "6026".
- Domain_of_holomorphy title "Domain of holomorphy".
- Domain_of_holomorphy subject Category:Several_complex_variables.
- Domain_of_holomorphy type PhysicalEntity100001930.
- Domain_of_holomorphy type SeveralComplexVariables.
- Domain_of_holomorphy type Thing100002452.
- Domain_of_holomorphy type Variable109468959.
- Domain_of_holomorphy comment "In mathematics, in the theory of functions of several complex variables, a domain of holomorphy is a set which is maximal in the sense that there exists a holomorphic function on this set which cannot be extended to a bigger set.".
- Domain_of_holomorphy label "Domain of holomorphy".
- Domain_of_holomorphy label "Domaine d'holomorphie".
- Domain_of_holomorphy label "Holomorphiegebiet".
- Domain_of_holomorphy sameAs Holomorphiegebiet.
- Domain_of_holomorphy sameAs Domaine_d'holomorphie.
- Domain_of_holomorphy sameAs m.090b9c.
- Domain_of_holomorphy sameAs Q1625065.
- Domain_of_holomorphy sameAs Q1625065.
- Domain_of_holomorphy sameAs Domain_of_holomorphy.
- Domain_of_holomorphy wasDerivedFrom Domain_of_holomorphy?oldid=578035022.
- Domain_of_holomorphy depiction Domain_of_holomorphy_illustration2.png.
- Domain_of_holomorphy isPrimaryTopicOf Domain_of_holomorphy.
