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Find a Closed Form for a q-Rational Sums and Products
QPochhammer and QPolyGamma provides the functions needed to give closed form solutions to q-rational products and sums.
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Product[q^(2 k)/(q^(3 k) + 2 q^k + 1), k]
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In[2]:=

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Sum[(q^k + q^(5 k))/(1 - 2 q^(3 k) + q^(6 k)), {k, n}]
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