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WeierstrassHalfPeriods






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassHalfPeriods[{g2,g3}] > Primary definition





http://functions.wolfram.com/09.18.02.0001.01









  


  










Input Form





WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] == {I ((60/Subscript[g, 2]) Sum[If[{m, n} == {0, 0}, 0, 1/(2 m + 2 n t)^4], {m, -Infinity, Infinity}, {n, -Infinity, Infinity}])^(1/4), I t ((60/Subscript[g, 2]) Sum[If[{m, n} == {0, 0}, 0, 1/(2 m + 2 n t)^4], {m, -Infinity, Infinity}, {n, -Infinity, Infinity}])^(1/4)} /; KleinInvariantJ[t] == Subscript[g, 2]^3/(Subscript[g, 2]^3 - 27 Subscript[g, 3]^2)










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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