DLMF:17.6.E17 (Q5384)

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DLMF:17.6.E17
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    Statements

    test
    ϕ 1 2 ⁡ ( a , b c / q ; q , z ) - ϕ 1 2 ⁡ ( a , b c ; q , z ) = c ⁢ z ⁢ ( 1 - a ) ⁢ ( 1 - b ) ( q - c ) ⁢ ( 1 - c ) ⁢ ϕ 1 2 ⁡ ( a ⁢ q , b ⁢ q c ⁢ q ; q , z ) , q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑞 𝑧 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 𝑐 𝑧 1 𝑎 1 𝑏 𝑞 𝑐 1 𝑐 q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑞 𝑐 𝑞 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c/q};q,z\right)-{{% }_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=cz\frac{(1-a)(1-b)}{(q-c)(1-c)}{{}% _{2}\phi_{1}}\left({aq,bq\atop cq};q,z\right),}}
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    DLMF id
    DLMF:17.6.E17
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