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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[2,z,q] > Differentiation > Low-order differentiation > With respect to q





http://functions.wolfram.com/09.02.20.0009.01









  


  










Input Form





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










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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