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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[3,z,q] > Series representations > q-series > Other q-series representations





http://functions.wolfram.com/09.03.06.0007.01









  


  










Input Form





(EllipticThetaPrime[1, 0, q] EllipticTheta[3, a + b, q])/ (4 EllipticTheta[1, a, q] EllipticTheta[3, b, q]) == (1/4) Csc[a] - Sum[(q^(2 k - 1) Sin[(2 k - 1) a + 2 b] + q^(4 k - 2) Sin[(2 k - 1) a])/(1 + 2 q^(2 k - 1) Cos[2 b] + q^(4 k - 2)), {k, 1, Infinity}] /; Abs[Im[a]] < 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





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