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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[z,{g2,g3}] > Product representations > Infinite products involving exponentials





http://functions.wolfram.com/09.15.08.0002.01









  


  








Input Form





WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] == z Product[Exp[-((Subscript[G, 2 k + 2][Subscript[\[Omega], 1], Subscript[\[Omega], 3]] z^(2 k + 2))/(2 k + 2))], {k, 1, Infinity}] /; Subscript[G, p][Subscript[\[Omega], 1], Subscript[\[Omega], 3]] == Sum[If[{m, n} == {0, 0}, 0, 1/(2 m Subscript[\[Omega], 1] + 2 n Subscript[\[Omega], 3])^p], {m, -Infinity, Infinity}, {n, -Infinity, Infinity}]








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