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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[4,z,q] > Representations through equivalent functions > With related functions > Involving Weierstrass functions





http://functions.wolfram.com/09.04.27.0013.01









  


  










Input Form





EllipticThetaPrime[4, z, q]/EllipticTheta[4, z, q] == ((2 Subscript[\[Omega], 1])/Pi) WeierstrassZeta[ ((2 Subscript[\[Omega], 1])/Pi) (z + (Pi \[Tau])/2), {Subscript[g, 2], Subscript[g, 3]}] - (2 Subscript[\[Eta], 3] Subscript[\[Omega], 1])/Pi - (4 Subscript[\[Eta], 1] Subscript[\[Omega], 1] z)/Pi^2 /; {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] && Subscript[\[Omega], 2] == -Subscript[\[Omega], 1] - Subscript[\[Omega], 3] && q == Exp[Pi I (Subscript[\[Omega], 3]/Subscript[\[Omega], 1])] && Subscript[\[Eta], n] == WeierstrassZeta[Subscript[\[Omega], n], {Subscript[g, 2], Subscript[g, 3]}] && Element[n, {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