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Schwarz-Pick inequalities for hyperbolic domains in the extended plane

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dc.contributor.author Avkhadiev F.
dc.contributor.author Wirths K.
dc.date.accessioned 2018-09-17T21:54:13Z
dc.date.available 2018-09-17T21:54:13Z
dc.date.issued 2004
dc.identifier.issn 0046-5755
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/135582
dc.description.abstract Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. We derive sharp upper bounds for the modulus of the nth derivative of a holomorphic, resp. meromorphic function f: Ω → Π at a point z0 εΩ. The bounds depend on the densities λΩ and λΠ of the Poincaré metrics and on the hyperbolic distances of the points z0 and f(z0) to the point ∞.
dc.relation.ispartofseries Geometriae Dedicata
dc.subject Derivatives
dc.subject Holomorphic function
dc.subject Hyperbolic distance
dc.subject Poincaré metric
dc.title Schwarz-Pick inequalities for hyperbolic domains in the extended plane
dc.type Article
dc.relation.ispartofseries-issue 1
dc.relation.ispartofseries-volume 106
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1
dc.source.id SCOPUS00465755-2004-106-1-SID3142759600


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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