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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[z,{g2,g3}] > General characteristics > Symmetries and periodicities > Periodicity





http://functions.wolfram.com/09.15.04.0005.01









  


  








Input Form





WeierstrassSigma[z + 2 m Subscript[\[Omega], 1] + 2 n Subscript[\[Omega], 2] + 2 r Subscript[\[Omega], 3], {Subscript[g, 2], Subscript[g, 3]}] == (-1)^(n r + r m + m n + m + n + r) Exp[2 (m Subscript[\[Eta], 1] + n Subscript[\[Eta], 2] + r Subscript[\[Eta], 3]) (z + m Subscript[\[Omega], 1] + n Subscript[\[Omega], 2] + r Subscript[\[Omega], 3])] WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] /; Element[{m, n, r}, Integers]








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