DLMF:17.7.E19 (Q5415)

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DLMF:17.7.E19
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    Statements

    ϕ r r + 1 ( a , b 1 q m 1 , , b r q m r b 1 , , b r ; q , a - 1 q 1 - ( m 1 + + m r ) ) = 0 , q-hypergeometric-rphis 𝑟 1 𝑟 𝑎 subscript 𝑏 1 superscript 𝑞 subscript 𝑚 1 subscript 𝑏 𝑟 superscript 𝑞 subscript 𝑚 𝑟 subscript 𝑏 1 subscript 𝑏 𝑟 𝑞 superscript 𝑎 1 superscript 𝑞 1 subscript 𝑚 1 subscript 𝑚 𝑟 0 {\displaystyle{\displaystyle{{}_{r+1}\phi_{r}}\left({a,b_{1}q^{m_{1}},\dots,b_% {r}q^{m_{r}}\atop b_{1},\dots,b_{r}};q,a^{-1}q^{1-(m_{1}+\cdots+m_{r})}\right)% =0,}}
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    DLMF:17.7.E19
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