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Statements
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q-hypergeometric-rpsis
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𝑞
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q-hypergeometric-rpsis
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𝑠
𝑞
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superscript
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q-multiple-Pochhammer
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𝑟
𝑞
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superscript
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𝑠
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superscript
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binomial
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2
superscript
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q-multiple-Pochhammer
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superscript
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q-multiple-Pochhammer
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superscript
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𝑠
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superscript
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binomial
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2
superscript
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q-multiple-Pochhammer
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superscript
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q-multiple-Pochhammer
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q-multiple-Pochhammer
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superscript
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subscript
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{\displaystyle{\displaystyle{{}_{r}\psi_{s}}\left({a_{1},a_{2},\dots,a_{r}%
\atop b_{1},b_{2},\dots,b_{s}};q,z\right)={{}_{r}\psi_{s}}\left(a_{1},a_{2},%
\dots,a_{r};b_{1},b_{2},\dots,b_{s};q,z\right)=\sum_{n=-\infty}^{\infty}\frac{%
\left(a_{1},a_{2},\dots,a_{r};q\right)_{n}(-1)^{(s-r)n}q^{(s-r)\genfrac{(}{)}{%
0.0pt}{}{n}{2}}z^{n}}{\left(b_{1},b_{2},\dots,b_{s};q\right)_{n}}=\sum_{n=0}^{%
\infty}\frac{\left(a_{1},a_{2},\dots,a_{r};q\right)_{n}(-1)^{(s-r)n}q^{(s-r)%
\genfrac{(}{)}{0.0pt}{}{n}{2}}z^{n}}{\left(b_{1},b_{2},\dots,b_{s};q\right)_{n%
}}+\sum_{n=1}^{\infty}\frac{\left(q/b_{1},q/b_{2},\dots,q/b_{s};q\right)_{n}}{%
\left(q/a_{1},q/a_{2},\dots,q/a_{r};q\right)_{n}}\left(\frac{b_{1}b_{2}\cdots b%
_{s}}{a_{1}a_{2}\cdots a_{r}z}\right)^{n}.}}
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binomial
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{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
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q-multiple-Pochhammer
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{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}%
\right)_{\NVar{n}}}}
q
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{\displaystyle{\displaystyle q}}
n
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{\displaystyle{\displaystyle n}}
r
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{\displaystyle{\displaystyle r}}
s
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{\displaystyle{\displaystyle s}}
z
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{\displaystyle{\displaystyle z}}
Identifiers
