DLMF:17.6.E20 (Q5387)

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DLMF:17.6.E20
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    ϕ 1 2 ( a q , b / q c ; q , z ) - ϕ 1 2 ( a , b c ; q , z ) = a z ( 1 - b / ( a q ) ) 1 - c ϕ 1 2 ( a q , b c q ; q , z ) , q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑞 𝑐 𝑞 𝑧 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 𝑎 𝑧 1 𝑏 𝑎 𝑞 1 𝑐 q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑐 𝑞 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({aq,b/q\atop c};q,z\right)-{% {}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=az\frac{(1-b/(aq))}{1-c}{{}_{2}% \phi_{1}}\left({aq,b\atop cq};q,z\right),}}
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