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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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