Applications of a duality between generalized trigonometric and hyperbolic functions
arXiv:2011.06834 · doi:10.1016/j.jmaa.2021.12524
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, Mitrinović-Adamović-type inequalities, multiple-angle formulas, and double-angle formulas for both can be produced.
18 pages, 3 tables