DLMF:17.7.E21 (Q5417)

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Language	Label	Description	Also known as
English	DLMF:17.7.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{k=0}^{n}\frac{(1-ap^{k}q^{k})(1-bp^{k}q^{-k}% )}{(1-a)(1-b)}\frac{\left(a,b;p\right)_{k}\left(c,a/(bc);q\right)_{k}}{\left(q% ,aq/b;q\right)_{k}\left(ap/c,bcp;p\right)_{k}}q^{k}=\frac{\left(ap,bp;p\right)% _{n}\left(cq,aq/(bc);q\right)_{n}}{\left(q,aq/b;q\right)_{n}\left(ap/c,bcp;p% \right)_{n}},}}

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DLMF:17.7.E21

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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.m6ardec

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Defining formula

{\displaystyle{\displaystyle k}}

C17.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1tdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1idec

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