On generalized hypercomplex laguerre-type exponentials and applications

Bibliographic Details
Main Author: Cação, I.
Publication Date: 2011
Other Authors: Falcão, M. I., Malonek, H. R.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/15167
Summary: In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbolic functions.
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spelling On generalized hypercomplex laguerre-type exponentials and applicationsHypercomplex Laguerre derivativeAppell sequencesExponential operatorsFunctions of hypercomplex variables.Science & TechnologyIn hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbolic functions.Financial support from Center for research and development in Mathematics and Applications of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT), is gratefully acknowledged.SpringerUniversidade do MinhoCação, I.Falcão, M. I.Malonek, H. R.20112011-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/15167eng97836422193060302-974310.1007/978-3-642-21931-3_22http://dx.doi.org/10.1007/978-3-642-21931-3_22info: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:RCAAP2024-05-11T05:13:35Zoai:repositorium.sdum.uminho.pt:1822/15167Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:11:47.006011Repositórios 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 On generalized hypercomplex laguerre-type exponentials and applications
title On generalized hypercomplex laguerre-type exponentials and applications
spellingShingle On generalized hypercomplex laguerre-type exponentials and applications
Cação, I.
Hypercomplex Laguerre derivative
Appell sequences
Exponential operators
Functions of hypercomplex variables.
Science & Technology
title_short On generalized hypercomplex laguerre-type exponentials and applications
title_full On generalized hypercomplex laguerre-type exponentials and applications
title_fullStr On generalized hypercomplex laguerre-type exponentials and applications
title_full_unstemmed On generalized hypercomplex laguerre-type exponentials and applications
title_sort On generalized hypercomplex laguerre-type exponentials and applications
author Cação, I.
author_facet Cação, I.
Falcão, M. I.
Malonek, H. R.
author_role author
author2 Falcão, M. I.
Malonek, H. R.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Cação, I.
Falcão, M. I.
Malonek, H. R.
dc.subject.por.fl_str_mv Hypercomplex Laguerre derivative
Appell sequences
Exponential operators
Functions of hypercomplex variables.
Science & Technology
topic Hypercomplex Laguerre derivative
Appell sequences
Exponential operators
Functions of hypercomplex variables.
Science & Technology
description In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbolic functions.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/15167
url http://hdl.handle.net/1822/15167
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 9783642219306
0302-9743
10.1007/978-3-642-21931-3_22
http://dx.doi.org/10.1007/978-3-642-21931-3_22
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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