Please use this identifier to cite or link to this item: https://repositorio.ufba.br/handle/ri/13652
metadata.dc.type: Artigo de Periódico
Title: On a q-generalization of circular and hyperbolic functions
Other Titles: Journal of physics A: Mathematical and general
Authors: Borges, Ernesto Pinheiro
metadata.dc.creator: Borges, Ernesto Pinheiro
Abstract: A 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.
Publisher: Journal of physics A: Mathematical and general
URI: http://repositorio.ufba.br/ri/handle/ri/13652
Issue Date: 1998
Appears in Collections:Artigo Publicado em Periódico (PPEQ)

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