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The basis property of generalized Jacobian elliptic functions by Takeuchi, Shingo is a scholarly article available to read on EtoBox.

What is The basis property of generalized Jacobian elliptic functions about?

The Jacobian elliptic functions are generalized to functions including 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 $k$ satisfies $0 \le k \le 0.99$.

Author

Takeuchi, Shingo

Published

2013

Language

EN