DLMF:17.6.E18 (Q5385): Difference between revisions

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DLMF:17.6.E18
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    Statements

    Defining formula
    ϕ 1 2 ⁡ ( a ⁢ q , b c ; q , z ) - ϕ 1 2 ⁡ ( a , b c ; q , z ) = a ⁢ z ⁢ 1 - b 1 - c ⁢ ϕ 1 2 ⁡ ( a ⁢ q , b ⁢ q c ⁢ q ; q , z ) , q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑐 𝑞 𝑧 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 𝑎 𝑧 1 𝑏 1 𝑐 q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑞 𝑐 𝑞 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({aq,b\atop c};q,z\right)-{{}% _{2}\phi_{1}}\left({a,b\atop c};q,z\right)=az\frac{1-b}{1-c}{{}_{2}\phi_{1}}% \left({aq,bq\atop cq};q,z\right),}}
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    DLMF id
    DLMF:17.6.E18
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