The case of the Weierstrass elliptic function with invariants and . In this case, the half-periods are given by , where is times the lemniscate constant,
(1)
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(2)
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(3)
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(OEIS A093341; Abramowitz and Stegun 1972, p. 658).
The case of the Weierstrass elliptic function with invariants and . In this case, the half-periods are given by , where is times the lemniscate constant,
(1)
| |||
(2)
| |||
(3)
|
(OEIS A093341; Abramowitz and Stegun 1972, p. 658).
Weisstein, Eric W. "Lemniscate Case." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LemniscateCase.html