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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[z,{g2,g3}] > Series representations > q-series





http://functions.wolfram.com/09.15.06.0003.01









  


  








Input Form





Log[WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}]] == Log[(2 Subscript[\[Omega], 1])/Pi] + (Subscript[\[Eta], 1] z^2)/ (2 Subscript[\[Omega], 1]) + Log[Sin[(Pi z)/(2 Subscript[\[Omega], 1])]] + 4 Sum[(q^(2 k)/(k (1 - q^(2 k)))) Sin[(k Pi z)/(2 Subscript[\[Omega], 1])]^ 2, {k, 1, 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