Omega-2 Constant

Author

Eric W. Weisstein
June 15, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/Omega-2Constant.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Omega-2Constant.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Definition

WeierstrassHalfPeriods[{0,1}]

N[WeierstrassHalfPeriods[{0,1}],16]

N[WeierstrassHalfPeriods[{0,1}],30]

ω2=(((Gamma[(1/3)])^3)/(4π));

{ω2,ω2/2+I Sqrt[3]ω2/2}//FullSimplify

N[%,20]

First@RealDigits[Chop[First@N[WeierstrassHalfPeriods[{0,1}],100]]]