Applications of a duality between generalized trigonometric and hyperbolic functions

Hiroki Miyakawa, Shingo Takeuchi

研究成果: Article査読

抄録

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.

本文言語English
論文番号125241
ジャーナルJournal of Mathematical Analysis and Applications
502
1
DOI
出版ステータスPublished - 2021 10 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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