DLMF:17.6.E19 (Q5386)

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DLMF:17.6.E19
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    test
    ϕ 1 2 ⁡ ( a ⁢ q , b c ⁢ q ; q , z ) - ϕ 1 2 ⁡ ( a , b c ; q , z ) = a ⁢ z ⁢ ( 1 - b ) ⁢ ( 1 - ( c / a ) ) ( 1 - c ) ⁢ ( 1 - c ⁢ q ) ⁢ ϕ 1 2 ⁡ ( a ⁢ q , b ⁢ q c ⁢ q 2 ; q , z ) , q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑐 𝑞 𝑞 𝑧 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 𝑎 𝑧 1 𝑏 1 𝑐 𝑎 1 𝑐 1 𝑐 𝑞 q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑞 𝑐 superscript 𝑞 2 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({aq,b\atop cq};q,z\right)-{{% }_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=az\frac{(1-b)(1-(c/a))}{(1-c)(1-cq% )}{{}_{2}\phi_{1}}\left({aq,bq\atop cq^{2}};q,z\right),}}
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    DLMF id
    DLMF:17.6.E19
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