DLMF:17.7.E5 (Q5401)

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DLMF:17.7.E5
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    ϕ 2 3 ⁡ ( a , b , c e , f ; q , q ) + ( q / e , a , b , c , q ⁢ f / e ; q ) ∞ ( e / q , a ⁢ q / e , b ⁢ q / e , c ⁢ q / e , f ; q ) ∞ ⁢ ϕ 2 3 ⁡ ( a ⁢ q / e , b ⁢ q / e , c ⁢ q / e q 2 / e , q ⁢ f / e ; q , q ) = ( q / e , f / a , f / b , f / c ; q ) ∞ ( a ⁢ q / e , b ⁢ q / e , c ⁢ q / e , f ; q ) ∞ , q-hypergeometric-rphis 3 2 𝑎 𝑏 𝑐 𝑒 𝑓 𝑞 𝑞 q-multiple-Pochhammer 𝑞 𝑒 𝑎 𝑏 𝑐 𝑞 𝑓 𝑒 𝑞 q-multiple-Pochhammer 𝑒 𝑞 𝑎 𝑞 𝑒 𝑏 𝑞 𝑒 𝑐 𝑞 𝑒 𝑓 𝑞 q-hypergeometric-rphis 3 2 𝑎 𝑞 𝑒 𝑏 𝑞 𝑒 𝑐 𝑞 𝑒 superscript 𝑞 2 𝑒 𝑞 𝑓 𝑒 𝑞 𝑞 q-multiple-Pochhammer 𝑞 𝑒 𝑓 𝑎 𝑓 𝑏 𝑓 𝑐 𝑞 q-multiple-Pochhammer 𝑎 𝑞 𝑒 𝑏 𝑞 𝑒 𝑐 𝑞 𝑒 𝑓 𝑞 {\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({a,b,c\atop e,f};q,q\right)+% \frac{\left(q/e,a,b,c,qf/e;q\right)_{\infty}}{\left(e/q,aq/e,bq/e,cq/e,f;q% \right)_{\infty}}\*{{}_{3}\phi_{2}}\left({aq/e,bq/e,cq/e\atop q^{2}/e,qf/e};q,% q\right)=\frac{\left(q/e,f/a,f/b,f/c;q\right)_{\infty}}{\left(aq/e,bq/e,cq/e,f% ;q\right)_{\infty}},}}
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    DLMF id
    DLMF:17.7.E5
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