DLMF:17.7.E23 (Q5419)

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Language	Label	Description	Also known as
English	DLMF:17.7.E23	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left(1-\frac{a}{q}\right)\left(1-\frac{b}{q}% \right)\sum_{k=0}^{n}\frac{\left(ap^{k},bp^{-k};q\right)_{n-1}(1-(ap^{2k}/b))}% {\left(p;p\right)_{n}\left(p;p\right)_{n-k}\left(ap^{k}/b;q\right)_{n+1}}(-1)^% {k}p^{\genfrac{(}{)}{0.0pt}{}{k}{2}}=\delta_{n,0}.}}

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DLMF:17.7.E23

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5adec

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1adec

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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\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

C17.S2.SS1.p1.m6atdec

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Defining formula

{\displaystyle{\displaystyle k}}

C17.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1vdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1kdec

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