Two double-angle formulas of generalized trigonometric functions

Shota Sato, Shingo Takeuchi

Research output: Contribution to journal › Article

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

Cite this

Two double-angle formulas of generalized trigonometric functions. / Sato, Shota; Takeuchi, Shingo.

In: Journal of Approximation Theory, Vol. 250, 105322, 02.2020.

Research output: Contribution to journal › Article

Sato, S & Takeuchi, S 2020, 'Two double-angle formulas of generalized trigonometric functions', Journal of Approximation Theory, vol. 250, 105322. https://doi.org/10.1016/j.jat.2019.105322
Sato S, Takeuchi S. Two double-angle formulas of generalized trigonometric functions. Journal of Approximation Theory. 2020 Feb;250. 105322. https://doi.org/10.1016/j.jat.2019.105322
Sato, Shota ; Takeuchi, Shingo. / Two double-angle formulas of generalized trigonometric functions. In: Journal of Approximation Theory. 2020 ; Vol. 250.
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