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variants of this functions
EllipticThetaPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticThetaPrime[1,z,q] > Series representations > Other series representations





http://functions.wolfram.com/09.05.06.0018.01









  


  










Input Form





EllipticThetaPrime[1, z, q] == ((2 Sqrt[Pi])/(-Log[q])^(3/2)) E^((Pi^2 + 4 z^2)/(4 Log[q])) (2 z Sum[(-1)^k E^((k (k + 1) Pi^2)/Log[q]) Sinh[((2 k + 1) Pi z)/Log[q]], {k, 0, Infinity}] + Pi Sum[(-1)^k E^((k (k + 1) Pi^2)/Log[q]) (2 k + 1) Cosh[((2 k + 1) Pi z)/Log[q]], {k, 0, 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