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Statements
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{\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{\left(a;q^{2}\right)_{n}%
\left(b;q\right)_{n}}{\left(q^{2};q^{2}\right)_{n}\left(c;q\right)_{n}}z^{n}=%
\frac{\left(b;q\right)_{\infty}\left(az;q^{2}\right)_{\infty}}{\left(c;q\right%
)_{\infty}\left(z;q^{2}\right)_{\infty}}\sum_{n=0}^{\infty}\frac{\left(c/b;q%
\right)_{2n}\left(z;q^{2}\right)_{n}b^{2n}}{\left(q;q\right)_{2n}\left(az;q^{2%
}\right)_{n}}+\frac{\left(b;q\right)_{\infty}\left(azq;q^{2}\right)_{\infty}}{%
\left(c;q\right)_{\infty}\left(zq;q^{2}\right)_{\infty}}\sum_{n=0}^{\infty}%
\frac{\left(c/b;q\right)_{2n+1}\left(zq;q^{2}\right)_{n}b^{2n+1}}{\left(q;q%
\right)_{2n+1}\left(azq;q^{2}\right)_{n}}.}}
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n
q-Pochhammer-symbol
𝑎
𝑞
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{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
