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variants of this functions
EllipticThetaPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticThetaPrime[1,z,q] > Differentiation > Low-order differentiation > With respect to z





http://functions.wolfram.com/09.05.20.0009.01









  


  










Input Form





D[EllipticThetaPrime[1, z, q], z] == EllipticThetaPrime[1, z, q]^2/EllipticTheta[1, z, q] - EllipticTheta[3, 0, q]^2 EllipticTheta[4, 0, q]^2 (EllipticTheta[2, z, q]^2/EllipticTheta[1, z, q]) - (4/Pi^2) EllipticTheta[1, z, q] ((Pi^2/12) (EllipticTheta[3, 0, q]^4 + EllipticTheta[4, 0, q]^4) + WeierstrassZeta[1, WeierstrassInvariants[{1, Log[q]/(Pi I)}]])










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)





2007-05-02