DLMF:17.9.E11 (Q5437)

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DLMF:17.9.E11
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    ϕ 2 3 ( q - n , b , c d , e ; q , q ) = ( e / c , d / c ; q ) n ( e , d ; q ) n c n ϕ 2 3 ( q - n , c , c b q 1 - n / ( d e ) c q 1 - n / e , c q 1 - n / d ; q , q ) , q-hypergeometric-rphis 3 2 superscript 𝑞 𝑛 𝑏 𝑐 𝑑 𝑒 𝑞 𝑞 q-multiple-Pochhammer 𝑒 𝑐 𝑑 𝑐 𝑞 𝑛 q-multiple-Pochhammer 𝑒 𝑑 𝑞 𝑛 superscript 𝑐 𝑛 q-hypergeometric-rphis 3 2 superscript 𝑞 𝑛 𝑐 𝑐 𝑏 superscript 𝑞 1 𝑛 𝑑 𝑒 𝑐 superscript 𝑞 1 𝑛 𝑒 𝑐 superscript 𝑞 1 𝑛 𝑑 𝑞 𝑞 {\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-n},b,c\atop d,e};q,q% \right)=\frac{\left(e/c,d/c;q\right)_{n}}{\left(e,d;q\right)_{n}}c^{n}{{}_{3}% \phi_{2}}\left({q^{-n},c,\ifrac{cbq^{1-n}}{(de)}\atop\ifrac{cq^{1-n}}{e},% \ifrac{cq^{1-n}}{d}};q,q\right),}}
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