Display Abstract

Title The basis property of generalized Jacobian elliptic functions

Name Shingo Takeuchi
Country Japan
Email shingo@shibaura-it.ac.jp
Co-Author(s)
Submit Time 2014-02-11 21:16:40
Session
Special Session 33: Bifurcations and asymptotic analysis of solutions of nonlinear models
Contents
The Jacobian elliptic functions are generalized to functions including the generalized trigonometric functions. This talk 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 $k$ satisfies $0 \le k \le 0.99$.