The Lambert-Kaniadakis Wκ function

Bibliographic Details
Main Author: Silva, José Leonardo Esteves da
Publication Date: 2020
Other Authors: Silva, George Barbosa da, Ramos, Rubens Viana
Format: Article
Language: eng
Source: Repositório Institucional da Universidade Federal do Ceará (UFC)
Download full: http://www.repositorio.ufc.br/handle/riufc/70579
Summary: In the present work, we introduce the Lambert-Kaniadakis Wk function. It is a generalization of the Lambert W function that solves the equation Wk(z) expk (Wk(z))=z, where expk (z) is the κ-exponential, a generalization of the exponential function proposed by Kaniadakis. Following, the Wk function is used in the definition of the κ-disentropy. Analytical results and numerical calculations of Wk are shown, as well some applications of the κ-disentropy are discussed.
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spelling Silva, José Leonardo Esteves daSilva, George Barbosa daRamos, Rubens Viana2023-02-08T13:31:33Z2023-02-08T13:31:33Z2020RAMOS, R. V.; SILVA, G. B.; SILVA, J. L. E. The Lambert-Kaniadakis Wκ function. Physics Letters A, [s.l.], v. 384, n. 8, 2020. DOI: https://doi.org/10.1016/j.physleta.2019.1261750375-9601http://www.repositorio.ufc.br/handle/riufc/70579In the present work, we introduce the Lambert-Kaniadakis Wk function. It is a generalization of the Lambert W function that solves the equation Wk(z) expk (Wk(z))=z, where expk (z) is the κ-exponential, a generalization of the exponential function proposed by Kaniadakis. Following, the Wk function is used in the definition of the κ-disentropy. Analytical results and numerical calculations of Wk are shown, as well some applications of the κ-disentropy are discussed.Physics Letters ALambert W functionKaniadakis exponentialDisentropyThe Lambert-Kaniadakis Wκ functioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2020_art_ruvramos.pdf2020_art_ruvramos.pdfapplication/pdf936160http://repositorio.ufc.br/bitstream/riufc/70579/1/2020_art_ruvramos.pdf64085a198d1c73d46668be8000439b59MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufc.br/bitstream/riufc/70579/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52riufc/705792023-02-08 10:31:33.726oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2023-02-08T13:31:33Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv The Lambert-Kaniadakis Wκ function
title The Lambert-Kaniadakis Wκ function
spellingShingle The Lambert-Kaniadakis Wκ function
Silva, José Leonardo Esteves da
Lambert W function
Kaniadakis exponential
Disentropy
title_short The Lambert-Kaniadakis Wκ function
title_full The Lambert-Kaniadakis Wκ function
title_fullStr The Lambert-Kaniadakis Wκ function
title_full_unstemmed The Lambert-Kaniadakis Wκ function
title_sort The Lambert-Kaniadakis Wκ function
author Silva, José Leonardo Esteves da
author_facet Silva, José Leonardo Esteves da
Silva, George Barbosa da
Ramos, Rubens Viana
author_role author
author2 Silva, George Barbosa da
Ramos, Rubens Viana
author2_role author
author
dc.contributor.author.fl_str_mv Silva, José Leonardo Esteves da
Silva, George Barbosa da
Ramos, Rubens Viana
dc.subject.por.fl_str_mv Lambert W function
Kaniadakis exponential
Disentropy
topic Lambert W function
Kaniadakis exponential
Disentropy
description In the present work, we introduce the Lambert-Kaniadakis Wk function. It is a generalization of the Lambert W function that solves the equation Wk(z) expk (Wk(z))=z, where expk (z) is the κ-exponential, a generalization of the exponential function proposed by Kaniadakis. Following, the Wk function is used in the definition of the κ-disentropy. Analytical results and numerical calculations of Wk are shown, as well some applications of the κ-disentropy are discussed.
publishDate 2020
dc.date.issued.fl_str_mv 2020
dc.date.accessioned.fl_str_mv 2023-02-08T13:31:33Z
dc.date.available.fl_str_mv 2023-02-08T13:31:33Z
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.citation.fl_str_mv RAMOS, R. V.; SILVA, G. B.; SILVA, J. L. E. The Lambert-Kaniadakis Wκ function. Physics Letters A, [s.l.], v. 384, n. 8, 2020. DOI: https://doi.org/10.1016/j.physleta.2019.126175
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/70579
dc.identifier.issn.none.fl_str_mv 0375-9601
identifier_str_mv RAMOS, R. V.; SILVA, G. B.; SILVA, J. L. E. The Lambert-Kaniadakis Wκ function. Physics Letters A, [s.l.], v. 384, n. 8, 2020. DOI: https://doi.org/10.1016/j.physleta.2019.126175
0375-9601
url http://www.repositorio.ufc.br/handle/riufc/70579
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Physics Letters A
publisher.none.fl_str_mv Physics Letters A
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
instacron_str UFC
institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/70579/1/2020_art_ruvramos.pdf
http://repositorio.ufc.br/bitstream/riufc/70579/2/license.txt
bitstream.checksum.fl_str_mv 64085a198d1c73d46668be8000439b59
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bitstream.checksumAlgorithm.fl_str_mv MD5
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repository.name.fl_str_mv Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)
repository.mail.fl_str_mv bu@ufc.br || repositorio@ufc.br
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