DLMF:17.9.E19 (Q5445)

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Language	Label	Description	Also known as
English	DLMF:17.9.E19	No description defined

Statements

Defining formula

{\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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DLMF:17.9.E19

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2aidec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1rdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1gdec

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