Generalized Trigonometric Functions and Elementary Applications

被引：0
|
作者：
Dattoli G. [1 ]
Palma E.D. [1 ]
Nguyen F. [1 ]
Sabia E. [2 ]
机构：
[1] ENEA Fusion Department, Via E. Fermi 45, Frascati, Rome
[2] ENEA Fusion Department, Piazzale E. Fermi 1, Portici, Naples
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 2期
关键词：
Bessel functions; Evolution operator; Generalized Euler identities; Higher order trigonometries;
D O I：
10.1007/s40819-016-0168-5
中图分类号：
学科分类号：
摘要：
We present some applications of the generalized trigonometric functions to problems in classical mechanics and to the theory of integral equations. We discuss how second and third order trigonometries are ideally suited tools to treat either damped harmonic oscillators and three dimensional rotational models. We make further progress in the generalization process by discussing the properties of Laguerre trigonometries along with the relevant link with the theory of Bessel functions. © 2016, Springer India Pvt. Ltd.
引用
收藏
页码：445 / 458
页数：13
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