Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral

dc.contributor.author	Khasanova E.
dc.date.accessioned	2018-09-19T20:56:01Z
dc.date.available	2018-09-19T20:56:01Z
dc.date.issued	2017
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143439
dc.description.abstract	© 2017, Allerton Press, Inc.We propose a formula for the conformalmapping of the upper half-plane onto a polygonal domain, which generalizes the Schwarz–Christoffel equation. It is obtained by terms of partial solution to the Hilbert boundary-value problem with a countable set of singularity points of the coefficients including a turbulence of logarithmic type at the infinity point. We also prove the existence of closed and univalent mappings.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	conformal mapping
dc.subject	Hilbert boundary-value problem
dc.subject	Schwarz–Christoffel equation
dc.subject	univalent function
dc.title	Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	64
dc.source.id	SCOPUS1066369X-2017-61-7-SID85019544260

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.