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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[4,z,q] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/09.04.20.0007.01









  


  










Input Form





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