omega_2 Constant
المؤلف:
Abramowitz, M. and Stegun, I. A.
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover,
الجزء والصفحة:
...
23-4-2019
2176
omega_2 Constant
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).
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."
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