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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 |