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variants of this functions
EllipticThetaPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticThetaPrime[2,z,q] > Series representations > Other series representations





http://functions.wolfram.com/09.06.06.0016.01









  


  










Input Form





EllipticThetaPrime[2, z, q] == (-((2 (-1)^(3/4) Sqrt[Pi])/((-I) Log[q])^(3/2))) E^(z^2/Log[q]) (z + 2 Sum[(-1)^k E^((k^2 Pi^2)/Log[q]) (z Cosh[(2 k Pi z)/Log[q]] + Pi k Sinh[(2 k Pi z)/Log[q]]), {k, 1, Infinity}])










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