Lemniscatic elliptic function

（重定向自Lemniscate function）

A lemniscate of Bernoulli and its two foci

In mathematics, a lemniscatic elliptic function is an elliptic function related to the arc length of a lemniscate of Bernoulli studied by Giulio Carlo de' Toschi di Fagnano in 1718. It has a square period lattice and is closely related to the Weierstrass elliptic function when the Weierstrass invariants satisfy g₂ = 1 and g₃ = 0.

单词	Lemniscate function
释义	Lemniscate function 英语百科 Lemniscatic elliptic function （重定向自Lemniscate function） In mathematics, a lemniscatic elliptic function is an elliptic function related to the arc length of a lemniscate of Bernoulli studied by Giulio Carlo de' Toschi di Fagnano in 1718. It has a square period lattice and is closely related to the Weierstrass elliptic function when the Weierstrass invariants satisfy g₂ = 1 and g₃ = 0.
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