Applications of a duality between generalized trigonometric and hyperbolic functions

Hiroki Miyakawa, Shingo Takeuchi

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
JournalUnknown Journal
Publication statusPublished - 2020 Nov 13

Keywords

  • Double-angle formulas
  • Generalized hyperbolic functions
  • Generalized trigonometric functions
  • Multiple-angle formulas
  • P-Laplacian

ASJC Scopus subject areas

  • General

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