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
Article number125241
JournalJournal of Mathematical Analysis and Applications
Volume502
Issue number1
DOIs
Publication statusPublished - 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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