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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/09.03.06.0008.01









  


  








Input Form





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