Explicit solution of a class of Riemann-Hilbert problems

Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are written, up to a finite number of accessory parameters, as non-singular indefinite integrals whose integrands are expressed in terms of the Schottky-Klein...

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Main Author: Darren Crowdy
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2009-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/77
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spelling doaj-ebd04ddb635e4e6282a41a9dbdd98a842020-11-25T01:54:23ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2009-04-0181518Explicit solution of a class of Riemann-Hilbert problemsDarren CrowdyAnalytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are written, up to a finite number of accessory parameters, as non-singular indefinite integrals whose integrands are expressed in terms of the Schottky-Klein prime function associated with the Schottky double of the planar domain.http://studmath.up.krakow.pl/index.php/studmath/article/view/77
collection DOAJ
language deu
format Article
sources DOAJ
author Darren Crowdy
spellingShingle Darren Crowdy
Explicit solution of a class of Riemann-Hilbert problems
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
author_facet Darren Crowdy
author_sort Darren Crowdy
title Explicit solution of a class of Riemann-Hilbert problems
title_short Explicit solution of a class of Riemann-Hilbert problems
title_full Explicit solution of a class of Riemann-Hilbert problems
title_fullStr Explicit solution of a class of Riemann-Hilbert problems
title_full_unstemmed Explicit solution of a class of Riemann-Hilbert problems
title_sort explicit solution of a class of riemann-hilbert problems
publisher Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn 2081-545X
publishDate 2009-04-01
description Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are written, up to a finite number of accessory parameters, as non-singular indefinite integrals whose integrands are expressed in terms of the Schottky-Klein prime function associated with the Schottky double of the planar domain.
url http://studmath.up.krakow.pl/index.php/studmath/article/view/77
work_keys_str_mv AT darrencrowdy explicitsolutionofaclassofriemannhilbertproblems
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