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7: New Categories of Special Functions
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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.
In[1]:=
Product[q^(2 k)/(q^(3 k) + 2 q^k + 1), k]
Out[1]=
In[2]:=
Sum[(q^k + q^(5 k))/(1  2 q^(3 k) + q^(6 k)), {k, n}]
Out[2]=