The basis property of generalized Jacobian elliptic functions

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The Jacobian elliptic functions are generalized to functions in- cluding the generalized trigonometric functions. The paper deals with the basis property of the sequence of generalized Jacobian elliptic functions in any Lebesgue space. In particular, it is shown that the sequence of the classical Jacobian elliptic functions is a basis in any Lebesgue space if the modulus κ satisfies 0 ≤ κ ≤ 0:99.

Original languageEnglish
Pages (from-to)2675-2692
Number of pages18
JournalCommunications on Pure and Applied Analysis
Issue number6
Publication statusPublished - 2014 Nov



  • Basis property
  • Generalized Jacobian elliptic functions
  • P-Laplacian

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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