The case of the Weierstrass elliptic function with invariants 
and 
. The half-periods for
this case are 
and 
,
where 
is the lemniscate constant and
 |
(OEIS A085565).
Pseudolemniscate Case
See also
Equianharmonic Case, Lemniscate Case, Lemniscate Constant, Weierstrass Elliptic FunctionExplore with Wolfram|Alpha
References
Abramowitz, M. and Stegun, I. A. (Eds.). "Pseudo-Lemniscate Case (
,
)."
§18.15 in Handbook
of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 662-663, 1972.Sloane, N. J. A. Sequence
A085565 in "The On-Line Encyclopedia
of Integer Sequences."Referenced on Wolfram|Alpha
Pseudolemniscate CaseCite this as:
Weisstein, Eric W. "Pseudolemniscate Case." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PseudolemniscateCase.html