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Statements
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n
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superscript
subscript
𝑛
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q-Pochhammer-symbol
𝑎
superscript
𝑞
𝑘
𝑛
q-Pochhammer-symbol
𝑏
𝑞
𝑘
𝑛
superscript
𝑧
𝑛
q-Pochhammer-symbol
superscript
𝑞
𝑘
superscript
𝑞
𝑘
𝑛
q-Pochhammer-symbol
𝑐
𝑞
𝑘
𝑛
q-Pochhammer-symbol
𝑏
𝑞
q-Pochhammer-symbol
𝑎
𝑧
superscript
𝑞
𝑘
q-Pochhammer-symbol
𝑐
𝑞
q-Pochhammer-symbol
𝑧
superscript
𝑞
𝑘
superscript
subscript
𝑛
0
q-Pochhammer-symbol
𝑐
𝑏
𝑞
𝑛
q-Pochhammer-symbol
𝑧
superscript
𝑞
𝑘
𝑛
superscript
𝑏
𝑛
q-Pochhammer-symbol
𝑞
𝑞
𝑛
q-Pochhammer-symbol
𝑎
𝑧
superscript
𝑞
𝑘
𝑛
{\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{\left(a;q^{k}\right)_{n}%
\left(b;q\right)_{kn}z^{n}}{\left(q^{k};q^{k}\right)_{n}\left(c;q\right)_{kn}}%
=\frac{\left(b;q\right)_{\infty}\left(az;q^{k}\right)_{\infty}}{\left(c;q%
\right)_{\infty}\left(z;q^{k}\right)_{\infty}}\sum_{n=0}^{\infty}\frac{\left(c%
/b;q\right)_{n}\left(z;q^{k}\right)_{n}b^{n}}{\left(q;q\right)_{n}\left(az;q^{%
k}\right)_{n}},}}
k
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𝑘
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{\displaystyle{\displaystyle k=1,2,3,\dots}}
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n
q-Pochhammer-symbol
𝑎
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
k
𝑘
{\displaystyle{\displaystyle k}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
