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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.15.08.0003.01









  


  








Input Form





WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] == ((2 Subscript[\[Omega], 1])/Pi) Sin[(Pi z)/(2 Subscript[\[Omega], 1])] Exp[(Subscript[\[Eta], 1] z^2)/(2 Subscript[\[Omega], 1])] Product[(1 - q^(2 n) Exp[-((I Pi z)/Subscript[\[Omega], 1])])/ (1 - q^(2 n)), {n, 1, Infinity}] Product[(1 - q^(2 n) Exp[(I Pi z)/Subscript[\[Omega], 1]])/(1 - q^(2 n)), {n, 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