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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 q





http://functions.wolfram.com/09.05.20.0010.01









  


  










Input Form





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










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





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