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
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.