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The approximate conformal mapping onto multiply connected domains

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dc.contributor.author Abzalilov D.
dc.contributor.author Shirokova E.
dc.date.accessioned 2020-01-15T22:13:26Z
dc.date.available 2020-01-15T22:13:26Z
dc.date.issued 2019
dc.identifier.issn 2306-3424
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/157157
dc.description.abstract © Petrozavodsk State University, 2019. The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with N circular slits or an annulus with (N - 1) circular slits onto an arbitrary (N + 1) multiply connected finite domain with a smooth boundary. The method is based on the solution of the Fredholm equation. This solution is reduced to the solution of a linear system with unknown Fourier coefficients. The approximate mapping function has the form of a set of Laurent polynomials in the set of annular regions The method is easily computable.
dc.relation.ispartofseries Problemy Analiza
dc.subject Conformal mapping
dc.subject Fredholm integral equation
dc.subject Multiply connected domain
dc.title The approximate conformal mapping onto multiply connected domains
dc.type Article
dc.relation.ispartofseries-issue 1
dc.relation.ispartofseries-volume 26
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 3
dc.source.id SCOPUS23063424-2019-26-1-SID85065586159


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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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