TY - JOUR
T1 - Applications of a duality between generalized trigonometric and hyperbolic functions
AU - Miyakawa, Hiroki
AU - Takeuchi, Shingo
N1 - Publisher Copyright:
© 2020, CC-BY.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11/13
Y1 - 2020/11/13
N2 - 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.
AB - 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.
KW - Double-angle formulas
KW - Generalized hyperbolic functions
KW - Generalized trigonometric functions
KW - Multiple-angle formulas
KW - P-Laplacian
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M3 - Article
AN - SCOPUS:85098830930
JO - Unknown Journal
JF - Unknown Journal
ER -