Publicação
On paravector valued homogeneous monogenic polynomials with binomial expansion
| Resumo: | The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables. |
|---|---|
| Autores principais: | Malonek, Helmuth Robert |
| Outros Autores: | Falcão, Maria Irene |
| Assunto: | Clifford analysis Generalized Appell polynomial |
| Ano: | 2012 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| _version_ | 1866172669238444032 |
|---|---|
| author | Malonek, Helmuth Robert |
| author2 | Falcão, Maria Irene |
| author2_role | author |
| author_facet | Malonek, Helmuth Robert Falcão, Maria Irene |
| author_role | author |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Malonek, Helmuth Robert\"},{\"Person.name\":\"Falcão, Maria Irene\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Malonek, Helmuth Robert Falcão, Maria Irene |
| datacite.date.Accepted.fl_str_mv | 2012-09-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2016-03-16T16:39:19Z |
| datacite.date.embargoed.fl_str_mv | 2016-03-16T16:39:19Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Clifford analysis Generalized Appell polynomial |
| datacite.titles.title.fl_str_mv | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| dc.creator.none.fl_str_mv | Malonek, Helmuth Robert Falcão, Maria Irene |
| dc.date.Accepted.fl_str_mv | 2012-09-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2016-03-16T16:39:19Z |
| dc.date.embargoed.fl_str_mv | 2016-03-16T16:39:19Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10773/15317 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | SP Birkhäuser Verlag Basel |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Clifford analysis Generalized Appell polynomial |
| dc.title.fl_str_mv | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ria_7a704d475fecbfcaae6b8dfdf8c8ca0e |
| identifier.url.fl_str_mv | http://hdl.handle.net/10773/15317 |
| instacron_str | ua |
| institution | Universidade de Aveiro |
| instname_str | Universidade de Aveiro |
| language | eng |
| network_acronym_str | ria |
| network_name_str | RIA - Repositório Institucional da Universidade de Aveiro |
| oai_identifier_str | oai:ria.ua.pt:10773/15317 |
| organization_str_mv | urn:organizationAcronym:ua |
| person_str_mv | Malonek, Helmuth Robert Falcão, Maria Irene |
| publishDate | 2012 |
| publisher.none.fl_str_mv | SP Birkhäuser Verlag Basel |
| reponame_str | RIA - Repositório Institucional da Universidade de Aveiro |
| repository_id_str | urn:repositoryAcronym:ria |
| service_str_mv | urn:repositoryAcronym:ria |
| spelling | porThe aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables.application/pdfengSP Birkhäuser Verlag BaselporOn paravector valued homogeneous monogenic polynomials with binomial expansionMalonek, Helmuth RobertFalcão, Maria IreneHandlehttp://hdl.handle.net/10773/15317ISSNIsPartOf0188-7009DOIIsPartOf10.1007/s00006-012-0361-52016-03-16T16:39:19Z2012-09-01T00:00:00Z2012-09http://purl.org/coar/access_right/c_abf2open accessporClifford analysisporGeneralized Appell polynomial192831 byteshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://ria.ua.pt/bitstream/10773/15317/1/Malonek_Falc%c3%a3o_2012b.pdfliteraturehttp://purl.org/coar/resource_type/c_6501journal article |
| spellingShingle | On paravector valued homogeneous monogenic polynomials with binomial expansion Malonek, Helmuth Robert Clifford analysis Generalized Appell polynomial |
| status | SINGLETON |
| subject.fl_str_mv | Clifford analysis Generalized Appell polynomial |
| title | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| title_full | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| title_fullStr | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| title_full_unstemmed | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| title_short | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| title_sort | On paravector valued homogeneous monogenic polynomials with binomial expansion |
| topic | Clifford analysis Generalized Appell polynomial |
| topic_facet | Clifford analysis Generalized Appell polynomial |
| url | http://hdl.handle.net/10773/15317 |
| visible | 1 |