Two double-angle formulas of generalized trigonometric functions

Shota Sato, Shingo Takeuchi

Research output: Contribution to journalArticle

Abstract

With respect to generalized trigonometric functions, since the discovery of double-angle formula for a special case by Edmunds, Gurka and Lang in 2012, no double-angle formulas have been found. In this paper, we will establish new double-angle formulas of generalized trigonometric functions in two special cases.

Original languageEnglish
Article number105322
JournalJournal of Approximation Theory
Volume250
DOIs
Publication statusPublished - 2020 Feb

Keywords

  • Dixon's elliptic functions
  • Double-angle formulas
  • Generalized trigonometric functions
  • Jacobian elliptic functions
  • Lemniscate function
  • p-Laplacian

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

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