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variants of this functions
EllipticTheta




Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[4,z,q] > Series representations > q-series > Other q-series representations





http://functions.wolfram.com/09.04.06.0012.01









  


  








Input Form





(EllipticThetaPrime[1, 0, q] EllipticTheta[1, z, q])/ (4 EllipticTheta[4, 0, q] EllipticTheta[4, z, q]) == Sum[((1 + q^(2 n - 1)) q^(n - 1/2) Sin[z])/(1 - 2 q^(2 n - 1) Cos[2 z] + q^(4 n - 2)), {n, 1, Infinity}] /; Abs[Im[z]] < (1/2) Im[\[Tau]] && q == E^(I Pi \[Tau])








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