Applications of a duality between generalized trigonometric and hyperbolic functions
Classical Analysis and ODEs
2021-12-28 v1 Analysis of PDEs
Abstract
It is shown that generalized trigonometric functions and generalized hyperbolic functions can be transformed from each other. As an application of this transformation, a number of properties for one immediately lead to the corresponding properties for the other. In this way, Mitrinovi\'{c}-Adamovi\'{c}-type inequalities, multiple-angle formulas, and double-angle formulas for both can be produced.
Cite
@article{arxiv.2011.06834,
title = {Applications of a duality between generalized trigonometric and hyperbolic functions},
author = {Hiroki Miyakawa and Shingo Takeuchi},
journal= {arXiv preprint arXiv:2011.06834},
year = {2021}
}
Comments
18 pages, 3 tables