Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2654

 Title: The Deformed Trigonometric Functions of two Variables Authors: Marinkovic, SladjanaStankovic, MiomirMulalic, Edin Keywords: exponential functiontrigonometric functionsdeformed exponential function Issue Date: 2012 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 26, Fasc 1-2 (2012), 147p-158p Abstract: Recently, various generalizations and deformations of the elementary functions were introduced. Since a lot of natural phenomena have both discrete and continual aspects, deformations which are able to express both of them are of particular interest. In this paper, we consider the trigonometry induced by one parameter deformation of the exponential function of two variables eh(x; y) = (1 + hx)y=h (h 2 R n f0g, x 2 C n f¡1=hg, y 2 R). In this manner, we define deformed sine and cosine functions and analyze their various properties. We give series expansions of these functions, formulas which have their similar counterparts in the classical trigonometry, and interesting difference and differential properties. Description: MSC 2010: 33B10, 33E20 URI: http://hdl.handle.net/10525/2654 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 26, 2012, Fasc. 1-2

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