Lemniscate elliptic functions: Difference between revisions

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In [[mathematics]], anda in'''lemniscatic particularelliptic function''' is an [[elliptic function]] related to the studyarc length of a [[Weierstrasslemniscate ellipticof functionBernoulli]]s,. It has a square period lattice and is closely related to the '''lemniscatic[[Weierstrass case'''elliptic function]] occurs when the Weierstrass invariants satisfy ''g''₂ = 1 and ''g''₃ = 0. This page follows the terminology of [[Abramowitz and Stegun]]; see also the [[equianharmonic]] case.

In the lemniscatic case, the minimal half period ω₁ is real and equal to