DLMF:17.4.E4 (Q5353)

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Language	Label	Description	Also known as
English	DLMF:17.4.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\lim_{q\to 1-}{{}_{r}\psi_{r}}\left({q^{a_{1}},q^{% a_{2}},\dots,q^{a_{r}}\atop q^{b_{1}},q^{b_{2}},\dots,q^{b_{r}}};q,z\right)={{% }_{r}H_{r}}\left({a_{1},a_{2},\dots,a_{r}\atop b_{1},b_{2},\dots,b_{r}};z% \right).}}

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DLMF:17.4.E4

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bilateral hypergeometric function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{p}}H_{\NVar{q}}}\left({\NVar{a_{1},% \dots,a_{p}}\atop\NVar{b_{1},\dots,b_{q}}};\NVar{z}\right)}}

C16.S4.E16.m2adec

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

Defining formula

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

C17.S4.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1cdec

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Defining formula

{\displaystyle{\displaystyle r}}

C17.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1cdec

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Sitelinks

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