Equianharmonic Case
المؤلف:
Abramowitz, M. and Stegun, I. A
المصدر:
"Equianharmonic Case (g_2=0, g_3=1)." §18.13 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
...
22-4-2019
1753
Equianharmonic Case
The case of the Weierstrass elliptic function with invariants 
and 
. The corresponding real half-period is given by
(OEIS A064582), known as the omega2-constant, where 
is the gamma function. The other half-period is then given by
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Equianharmonic Case (
, 
)." §18.13 in 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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