Lemniscate elliptic functions: Difference between revisions

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{{Unreferenced|date=May 2008}}

In [[mathematics]], and in particular the study of [[Weierstrass elliptic function]]s, the '''lemniscatic case''' occurs when the Weierstrass invariants satisfy ''g''<mathsub>g_2=12</mathsub>=1 and ''g''<mathsub>g_3=03</mathsub>=0. This page follows the terminology of [[Abramowitz and Stegun]]; see also the [[equianharmonic]] case.

In the lemniscatic case, the minimal half period <math>\omega_1</math> is real and equal to