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arXiv · 2011.06834

Applications of a duality between generalized trigonometric and hyperbolic functions

Hiroki Miyakawa·Shingo Takeuchi
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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.

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Hiroki Miyakawa, Shingo Takeuchi. 2020-11-13. Applications of a duality between generalized trigonometric and hyperbolic functions. https://doi.org/10.1016/j.jmaa.2021.12524

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