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 |
|