On a q-generalization of circular and hyperbolic functions

Detalhes bibliográficos
Autor(a) principal: Borges, Ernesto Pinheiro
Data de Publicação: 1998
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13652
Resumo: p. 5281–5288
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spelling Borges, Ernesto PinheiroBorges, Ernesto Pinheiro2013-11-14T20:20:44Z2013-11-14T20:20:44Z19980305-4470http://repositorio.ufba.br/ri/handle/ri/13652p. 5281–5288A generalization of the circular and hyperbolic functions is proposed, based on the Tsallis statistics and on a consistent generalization of the Euler formula. Some properties of the presently proposed q-trigonometry are then investigated. The generalized functions are exact solutions of a nonlinear oscillator. Original circular and hyperbolic relations are recovered as the q ! 1 limiting case.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-22T18:32:27Z No. of bitstreams: 1 22222222222222.pdf: 134274 bytes, checksum: 3719b04d7ea4172c66986db8fde25fd8 (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-14T20:20:44Z (GMT) No. of bitstreams: 1 22222222222222.pdf: 134274 bytes, checksum: 3719b04d7ea4172c66986db8fde25fd8 (MD5)Made available in DSpace on 2013-11-14T20:20:44Z (GMT). No. of bitstreams: 1 22222222222222.pdf: 134274 bytes, checksum: 3719b04d7ea4172c66986db8fde25fd8 (MD5) Previous issue date: 1998SalvadorJournal of physics A: Mathematical and general10.1088/0305-4470/31/23/011reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAOn a q-generalization of circular and hyperbolic functionsJournal of physics A: Mathematical and generalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL22222222222222.pdf22222222222222.pdfapplication/pdf134274https://repositorio.ufba.br/bitstream/ri/13652/1/22222222222222.pdf3719b04d7ea4172c66986db8fde25fd8MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13652/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT22222222222222.pdf.txt22222222222222.pdf.txtExtracted texttext/plain18145https://repositorio.ufba.br/bitstream/ri/13652/3/22222222222222.pdf.txtc82f1507feee937ee38ce5545d6b5261MD53ri/136522022-08-08 13:17:39.06oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:39Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv On a q-generalization of circular and hyperbolic functions
dc.title.alternative.pt_BR.fl_str_mv Journal of physics A: Mathematical and general
title On a q-generalization of circular and hyperbolic functions
spellingShingle On a q-generalization of circular and hyperbolic functions
Borges, Ernesto Pinheiro
title_short On a q-generalization of circular and hyperbolic functions
title_full On a q-generalization of circular and hyperbolic functions
title_fullStr On a q-generalization of circular and hyperbolic functions
title_full_unstemmed On a q-generalization of circular and hyperbolic functions
title_sort On a q-generalization of circular and hyperbolic functions
author Borges, Ernesto Pinheiro
author_facet Borges, Ernesto Pinheiro
author_role author
dc.contributor.author.fl_str_mv Borges, Ernesto Pinheiro
Borges, Ernesto Pinheiro
description p. 5281–5288
publishDate 1998
dc.date.issued.fl_str_mv 1998
dc.date.accessioned.fl_str_mv 2013-11-14T20:20:44Z
dc.date.available.fl_str_mv 2013-11-14T20:20:44Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13652
dc.identifier.issn.none.fl_str_mv 0305-4470
identifier_str_mv 0305-4470
url http://repositorio.ufba.br/ri/handle/ri/13652
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Journal of physics A: Mathematical and general
publisher.none.fl_str_mv Journal of physics A: Mathematical and general
dc.source.pt_BR.fl_str_mv 10.1088/0305-4470/31/23/011
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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