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WeierstrassZeta




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassZeta[z,{g2,g3}] > Representations through equivalent functions > With related functions > Involving theta functions





http://functions.wolfram.com/09.17.27.0008.01









  


  








Input Form





WeierstrassZeta[Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}]^ 2 == (Subscript[g, 2]/6 - Subscript[e, i]^2) Subscript[\[Omega], 1]^2 - ((Pi^2 Subscript[\[Eta], 1])/(2 Subscript[\[Omega], 1])) (Derivative[0, 2, 0][EllipticTheta][i + 1, 0, q]/ EllipticTheta[i + 1, 0, q]) - (Pi^4/(48 Subscript[\[Omega], 1]^2)) (Derivative[0, 4, 0][EllipticTheta][i + 1, 0, q]/ EllipticTheta[i + 1, 0, q]) /; Element[i, {1, 2, 3}]








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