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variants of this functions
EllipticThetaPrime




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.05.20.0007.01









  


  








Input Form





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