Applications of a duality between generalized trigonometric and hyperbolic functions

[摘要] 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, Mitrinovic-Adamovic-type inequalities, multiple-angle formulas, and double-angle formulas for both can be produced. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

[发布日期] 2021-10-01

[关键词] Generalized trigonometric functions;Generalized hyperbolic functions;Multiple-angle formulas;Double-angle formulas;p-Laplacian