Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions
| Main Author: | |
|---|---|
| Publication Date: | 2007 |
| Other Authors: | |
| Language: | eng |
| Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
| Download full: | http://hdl.handle.net/1822/29192 |
Summary: | AIP conference proceedings, vol. 936 |
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Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functionsAppell setsBessel functionsHypercomplex function theoryScience & TechnologyAIP conference proceedings, vol. 936In this paper we present applications of a special class of homogeneous monogenic polynomials constructed, in the framework of hypercomplex function theory, in order to be an Appell set of polynomials. In particular, we derive important properties of an associated exponential function from $\mathbb{R}^3$ to $\mathbb{R}^3$ and propose a generalization to $\mathbb{R}^{n+1}$.The research of the first author was partially supported by the Portuguese Foundation for Science and Technology (FCT) through the research program POCTI. The research of the second author was partially supported by the R&D unit <IT>Matematica e Aplicacoes</IT> (UIMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT). The second author thanks N. Giirlebeck for fruitful discussions on this subject.AIP PublishingUniversidade do MinhoFalcão, M. I.Malonek, H. R.20072007-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/29192eng978-0-7354-0447-20094-243X10.1063/1.2790257http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.2790257info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T07:12:19Zoai:repositorium.sdum.uminho.pt:1822/29192Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:19:10.312960Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse |
| dc.title.none.fl_str_mv |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| title |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| spellingShingle |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions Falcão, M. I. Appell sets Bessel functions Hypercomplex function theory Science & Technology |
| title_short |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| title_full |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| title_fullStr |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| title_full_unstemmed |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| title_sort |
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions |
| author |
Falcão, M. I. |
| author_facet |
Falcão, M. I. Malonek, H. R. |
| author_role |
author |
| author2 |
Malonek, H. R. |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade do Minho |
| dc.contributor.author.fl_str_mv |
Falcão, M. I. Malonek, H. R. |
| dc.subject.por.fl_str_mv |
Appell sets Bessel functions Hypercomplex function theory Science & Technology |
| topic |
Appell sets Bessel functions Hypercomplex function theory Science & Technology |
| description |
AIP conference proceedings, vol. 936 |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 2007-01-01T00:00:00Z |
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conference paper |
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info:eu-repo/semantics/publishedVersion |
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publishedVersion |
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http://hdl.handle.net/1822/29192 |
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http://hdl.handle.net/1822/29192 |
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eng |
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eng |
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978-0-7354-0447-2 0094-243X 10.1063/1.2790257 http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.2790257 |
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AIP Publishing |
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AIP Publishing |
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