Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/15441
Título: | Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
Autor: | He, Fuli Ku, Min Kähler, Uwe Sommen, Frank Bernstein, Swanhild |
Palavras-chave: | Quaternion analysis Generalized Cauchy Riemann operator Axial symmetry Riemann-Hilbert boundary value problems Variable coefficients |
Data: | 25-Jan-2016 |
Editora: | SpringerOpen |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15441 |
DOI: | 10.1186/s13661-016-0530-x |
ISSN: | 1687-2770 |
Aparece nas coleções: | CIDMA - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Ku_BV.pdf | Documento principal | 1.69 MB | Adobe PDF | Ver/Abrir |
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