Riemann-Hilbert problems for monogenic functions in axially symmetric domains

Detalhes bibliográficos
Autor(a) principal: He, Fuli
Data de Publicação: 2016
Outros Autores: Ku, Min, Kähler, Uwe, Sommen, Frank, Bernstein, Swanhild
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15441
Resumo: We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers.
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spelling Riemann-Hilbert problems for monogenic functions in axially symmetric domainsQuaternion analysisGeneralized Cauchy Riemann operatorAxial symmetryRiemann-Hilbert boundary value problemsVariable coefficientsWe consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers.SpringerOpen2016-04-13T11:45:02Z2016-01-25T00:00:00Z2016-01-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15441eng1687-277010.1186/s13661-016-0530-xHe, FuliKu, MinKähler, UweSommen, FrankBernstein, Swanhildinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:28:30Zoai:ria.ua.pt:10773/15441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:46.509539Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Riemann-Hilbert problems for monogenic functions in axially symmetric domains
title Riemann-Hilbert problems for monogenic functions in axially symmetric domains
spellingShingle Riemann-Hilbert problems for monogenic functions in axially symmetric domains
He, Fuli
Quaternion analysis
Generalized Cauchy Riemann operator
Axial symmetry
Riemann-Hilbert boundary value problems
Variable coefficients
title_short Riemann-Hilbert problems for monogenic functions in axially symmetric domains
title_full Riemann-Hilbert problems for monogenic functions in axially symmetric domains
title_fullStr Riemann-Hilbert problems for monogenic functions in axially symmetric domains
title_full_unstemmed Riemann-Hilbert problems for monogenic functions in axially symmetric domains
title_sort Riemann-Hilbert problems for monogenic functions in axially symmetric domains
author He, Fuli
author_facet He, Fuli
Ku, Min
Kähler, Uwe
Sommen, Frank
Bernstein, Swanhild
author_role author
author2 Ku, Min
Kähler, Uwe
Sommen, Frank
Bernstein, Swanhild
author2_role author
author
author
author
dc.contributor.author.fl_str_mv He, Fuli
Ku, Min
Kähler, Uwe
Sommen, Frank
Bernstein, Swanhild
dc.subject.por.fl_str_mv Quaternion analysis
Generalized Cauchy Riemann operator
Axial symmetry
Riemann-Hilbert boundary value problems
Variable coefficients
topic Quaternion analysis
Generalized Cauchy Riemann operator
Axial symmetry
Riemann-Hilbert boundary value problems
Variable coefficients
description We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers.
publishDate 2016
dc.date.none.fl_str_mv 2016-04-13T11:45:02Z
2016-01-25T00:00:00Z
2016-01-25
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/15441
url http://hdl.handle.net/10773/15441
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1687-2770
10.1186/s13661-016-0530-x
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv SpringerOpen
publisher.none.fl_str_mv SpringerOpen
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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