Some double-angle formulas related to a generalized lemniscate function

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1 Citation (Scopus)

Abstract

In this paper, we will establish some double-angle formulas related to the inverse function of ∫0xdt/1-t6. This function appears in Ramanujan’s Notebooks and is regarded as a generalized version of the lemniscate function.

Original languageEnglish
Pages (from-to)753-761
Number of pages9
JournalRamanujan Journal
Volume56
Issue number2
DOIs
Publication statusPublished - 2021 Nov

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

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