Pseudolemniscate Case

The case of the Weierstrass elliptic function with invariants g_2=-1 and g_3=0. The half-periods for this case are L(1+i)/4 and L(-1+i)/4, where L is the lemniscate constant and


(OEIS A085565).

See also

Equianharmonic Case, Lemniscate Case, Lemniscate Constant, Weierstrass Elliptic Function

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Abramowitz, M. and Stegun, I. A. (Eds.). "Pseudo-Lemniscate Case (g_2=-1, g_3=0)." §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."

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Pseudolemniscate Case

Cite this as:

Weisstein, Eric W. "Pseudolemniscate Case." From MathWorld--A Wolfram Web Resource.

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