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variants of this functions
EllipticThetaPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticThetaPrime[2,z,q] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/09.06.20.0007.01









  


  










Input Form





D[EllipticThetaPrime[2, z, q], {z, \[Alpha]}] == (-2^\[Alpha]) a Sqrt[Pi] z^(1 - \[Alpha]) q^(1/4) Sum[q^(k (k + 1)) (2 k + 1) HypergeometricPFQRegularized[{1}, {(3 - \[Alpha])/2, 1 - \[Alpha]/2}, (-(1/4)) (2 k + 1)^2 z^2], {k, 0, Infinity}] /; Abs[q] < 1










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