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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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2009-04-01
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Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/77 |
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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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