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Line 1: {{Expand German\|Lemniskatischer Sinus\|date=August 2017}} 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 {{math\|''g''<sub>2</sub> {{=}} 1}} and {{math\|''g''<sub>3</sub> {{=}} 0}}.

Lemniscate elliptic functions: Difference between revisions