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.

元の言語English
ページ(範囲)2675-2692
ページ数18
ジャーナルCommunications on Pure and Applied Analysis
13
発行部数6
DOI
出版物ステータスPublished - 2014 11

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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