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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.15.08.0001.01









  


  








Input Form





WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] == ((2 Subscript[\[Omega], i])/Pi) Exp[(Subscript[\[Eta], i] z^2)/ (2 Subscript[\[Omega], i])] Sin[(Pi z)/(2 Subscript[\[Omega], i])] Product[1 - Sin[(Pi z)/(2 Subscript[\[Omega], i])]^2/ Sin[(n Pi Subscript[\[Omega], j])/Subscript[\[Omega], i]]^2, {n, 1, Infinity}] /; Element[{i, j}, {1, 2, 3}] && i != j








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