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Explicit forms for the Schwarz integrals in an annulus and their applications

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dc.contributor.author Abubakirov N.
dc.contributor.author Aksent’ev L.
dc.date.accessioned 2018-09-18T20:31:44Z
dc.date.available 2018-09-18T20:31:44Z
dc.date.issued 2015
dc.identifier.issn 0037-4466
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140813
dc.description.abstract © 2015, Pleiades Publishing, Ltd. The article presents new explicit forms of the Schwarz integral in an annulus. Some correspondence is obtained between the Fourier series for the boundary values of the Schwarz problem and the Laurent series for a regular function f(z) that is the solution of the Schwarz problem. We study in detail the case of a linear-fractional function as a solution to the Schwarz problem in a disk, an annulus, and an arbitrary multiply-connected domain with an application to inverse boundary value problems.
dc.relation.ispartofseries Siberian Mathematical Journal
dc.subject Fourier series
dc.subject inverse boundary value problems
dc.subject Laurent series
dc.subject Schwarz integral
dc.title Explicit forms for the Schwarz integrals in an annulus and their applications
dc.type Article
dc.relation.ispartofseries-issue 1
dc.relation.ispartofseries-volume 56
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 9
dc.source.id SCOPUS00374466-2015-56-1-SID84928810031


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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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