The basis property of generalized Jacobian elliptic functions

Shingo Takeuchi

doi:10.3934/cpaa.2014.13.2675

The basis property of generalized Jacobian elliptic functions

Shingo Takeuchi

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2675-2692
Number of pages	18
Journal	Communications on Pure and Applied Analysis
Volume	13
Issue number	6
DOIs	https://doi.org/10.3934/cpaa.2014.13.2675
Publication status	Published - 2014 Nov

Keywords

Basis property
Generalized Jacobian elliptic functions
P-Laplacian

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2014.13.2675

Cite this

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The basis property of generalized Jacobian elliptic functions

Abstract

Keywords

ASJC Scopus subject areas

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