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, Mitrinović-Adamović-type inequalities, multiple-angle formulas, and double-angle formulas for both can be produced.
| Original language | English |
|---|---|
| Article number | 125241 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 502 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 Oct 1 |
Keywords
- Double-angle formulas
- Generalized hyperbolic functions
- Generalized trigonometric functions
- Multiple-angle formulas
- p-Laplacian
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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