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

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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