In the equianharmonic case of the Weierstrass elliptic function, corresponding to invariants 
and 
, the corresponding real half-period
is given by
(OEIS A064582), where 
is the gamma function.
The other half-period is then given by
(OEIS A094961 and A094962).
See also
Equianharmonic Case,
Half-Period,
Omega Constant,
Weierstrass
Constant,
Weierstrass Elliptic Function
Explore with Wolfram|Alpha
References
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 652-653, 1972.Finch, S. R. "Gauss'
Lemniscate Constant." §6.1 in Mathematical
Constants. Cambridge, England: Cambridge University Press, pp. 420-423,
2003.Sloane, N. J. A. Sequences A064582,
A094961, and A094962
in "The On-Line Encyclopedia of Integer Sequences."
Cite this as:
Weisstein, Eric W. "omega_2 Constant."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Omega-2Constant.html
Subject classifications
