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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/13652

Title: On a q-generalization of circular and hyperbolic functions
Other Titles: Journal of physics A: Mathematical and general
Authors: Borges, Ernesto Pinheiro
Issue Date: 1998
Publisher: Journal of physics A: Mathematical and general
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.
Description: p. 5281–5288
URI: http://repositorio.ufba.br/ri/handle/ri/13652
ISSN: 0305-4470
Appears in Collections:Artigos Publicados em Periódicos (PPEQ)

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