DLMF:17.10.E1 (Q5447)

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DLMF:17.10.E1
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    ψ 2 2 ( a , b c , d ; q , z ) = ( a z , d / a , c / b , d q / ( a b z ) ; q ) ( z , d , q / b , c d / ( a b z ) ; q ) ψ 2 2 ( a , a b z / d a z , c ; q , d a ) , q-hypergeometric-rpsis 2 2 𝑎 𝑏 𝑐 𝑑 𝑞 𝑧 q-multiple-Pochhammer 𝑎 𝑧 𝑑 𝑎 𝑐 𝑏 𝑑 𝑞 𝑎 𝑏 𝑧 𝑞 q-multiple-Pochhammer 𝑧 𝑑 𝑞 𝑏 𝑐 𝑑 𝑎 𝑏 𝑧 𝑞 q-hypergeometric-rpsis 2 2 𝑎 𝑎 𝑏 𝑧 𝑑 𝑎 𝑧 𝑐 𝑞 𝑑 𝑎 {\displaystyle{\displaystyle{{}_{2}\psi_{2}}\left({a,b\atop c,d};q,z\right)=% \frac{\left(az,d/a,c/b,dq/(abz);q\right)_{\infty}}{\left(z,d,q/b,cd/(abz);q% \right)_{\infty}}{{}_{2}\psi_{2}}\left({a,abz/d\atop az,c};q,\frac{d}{a}\right% ),}}
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    DLMF:17.10.E1
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