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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[n,z,{g2,g3}] > Series representations > Other series representations





http://functions.wolfram.com/09.16.06.0004.01









  


  








Input Form





WeierstrassSigma[i, z, {Subscript[g, 2], Subscript[g, 3]}] == z Exp[-Sum[(z^(2 j)/(2 j)) Sum[If[{m, n} == {0, 0}, 0, 1/(2 m Subscript[\[Omega], 1] + 2 n Subscript[\[Omega], 3])^(2 j)], {m, -Infinity, Infinity}, {n, -Infinity, Infinity}], {j, 2, Infinity}]] (-Subscript[e, i] + 1/z^2 + Sum[(2 j + 1) z^(2 j) Sum[If[{m, n} == {0, 0}, 0, (2 m Subscript[\[Omega], 1] + 2 n Subscript[\[Omega], 3])^ (-(2 j + 2))], {m, -Infinity, Infinity}, {n, -Infinity, Infinity}], {j, 1, Infinity}])^(1/2) /; Element[i, {1, 2, 3}]








Standard Form





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Rule Form





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





2001-10-29