DLMF:17.14.E5 (Q5474): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:17.14.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{q^{n^{2}+2n}}{\left(q^{2}% ;q^{2}\right)_{n}\left(q;q^{2}\right)_{n+1}}=\mbox{ coeff. of }z^{0}\mbox{ in % }\frac{\left(-zq;q^{2}\right)_{\infty}\left(-z^{-1}q;q^{2}\right)_{\infty}% \left(q^{2};q^{2}\right)_{\infty}}{\left(-q^{2}z^{-1};q^{2}\right)_{\infty}% \left(q;q^{2}\right)_{\infty}\left(z^{-1}q^{2};q^{2}\right)_{\infty}}=\frac{1}% {\left(q;q^{2}\right)_{\infty}}\mbox{ coeff. of }z^{0}\mbox{ in }\frac{\left(-% zq;q^{2}\right)_{\infty}\left(-z^{-1}q;q^{2}\right)_{\infty}\left(q^{2};q^{2}% \right)_{\infty}}{\left(q^{4}z^{-2};q^{4}\right)_{\infty}}=\frac{H(q^{4})}{% \left(q;q^{2}\right)_{\infty}}.}}

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DLMF:17.14.E5

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Defining formula

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

C17.S2.SS1.p1.m2addec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1ddec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle H(q)}}

C17.S14.XMD2.m1adec

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