DLMF:17.7.E20 (Q5416)

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Language	Label	Description	Also known as
English	DLMF:17.7.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{k=0}^{n}\frac{1-ap^{k}q^{k}}{1-a}\frac{\left% (a;p\right)_{k}\left(c;q\right)_{k}}{\left(q;q\right)_{k}\left(ap/c;p\right)_{% k}}c^{-k}=\frac{\left(ap;p\right)_{n}\left(cq;q\right)_{n}}{\left(q;q\right)_{% n}\left(ap/c;p\right)_{n}}c^{-n}.}}

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DLMF:17.7.E20

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Defining formula

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

C17.S2.SS1.p1.m2acdec

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Defining formula

{\displaystyle{\displaystyle k}}

C17.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1sdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1hdec

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