Applications of a duality between generalized trigonometric and hyperbolic functions (2011.06834v1)

Published 13 Nov 2020 in math.CA and math.AP

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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