论文标题

广义三角和双曲线功能之间的二元性应用

Applications of a duality between generalized trigonometric and hyperbolic functions

论文作者

Miyakawa, Hiroki, Takeuchi, Shingo

论文摘要

结果表明,可以彼此转化广义的三角函数和广义双曲线功能。作为此转换的应用,一个用于一个转换的属性立即导致另一个属性。通过这种方式,可以产生Mitrinović-Adamović-type型不平等,多角度公式和双角度公式。

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.

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