DLMF:17.9.E15 (Q5441)

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Language	Label	Description	Also known as
English	DLMF:17.9.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\left(aq,aq/(de);q\right)_{n}}{\left(aq/d,aq% /e;q\right)_{n}}{{}_{4}\phi_{3}}\left({aq/(bc),d,e,q^{-n}\atop aq/b,aq/c,deq^{% -n}/a};q,q\right)={{}_{8}\phi_{7}}\left({a,qa^{\frac{1}{2}},-qa^{\frac{1}{2}},% b,c,d,e,q^{-n}\atop a^{\frac{1}{2}},-a^{\frac{1}{2}},aq/b,aq/c,aq/d,aq/e,aq^{n% +1}};q,\frac{a^{2}q^{2+n}}{bcde}\right).}}

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DLMF:17.9.E15

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basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2andec

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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.m6agdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1ndec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1hdec

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