Weierstrass Constant

Author

Eric W. Weisstein
April 16, 2018

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/WeierstrassConstant.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/WeierstrassConstant.html.

©2018 Wolfram Research, Inc. except for portions noted otherwise

Numerical

N[{
(1/2)WeierstrassSigma[1,WeierstrassInvariants[{1,I}]],
(((2^(5/4))(Sqrt[π])Exp[π/8])/((Gamma[(1/4)])^2))},20]

Subtract@@%

N[Subtract@@{(1/2)WeierstrassSigma[1,WeierstrassInvariants[{1,I}]],
(((2^(5/4))(Sqrt[π])Exp[π/8])/((Gamma[(1/4)])^2))},1000]

RealDigits[(((2^(5/4))(Sqrt[π])Exp[π/8])/((Gamma[(1/4)])^2)),10,100][[1]]

(((2^(5/4))(Sqrt[π])Exp[π/8])/((Gamma[(1/4)])^2))//FullSimplify

RealDigits[WeierstrassSigma[1,WeierstrassInvariants[{1,I}]]/2,10,20]

bug(350484)

RealDigits[N[WeierstrassSigma[1,WeierstrassInvariants[{1,I}]]/2,100],10][[1]]