DLMF:17.6.E21 (Q5388)

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DLMF:17.6.E21
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    Statements

    test
    b ⁢ ( 1 - a ) ⁢ ϕ 1 2 ⁡ ( a ⁢ q , b c ; q , z ) - a ⁢ ( 1 - b ) ⁢ ϕ 1 2 ⁡ ( a , b ⁢ q c ; q , z ) = ( b - a ) ⁢ ϕ 1 2 ⁡ ( a , b c ; q , z ) , 𝑏 1 𝑎 q-hypergeometric-rphis 2 1 𝑎 𝑞 𝑏 𝑐 𝑞 𝑧 𝑎 1 𝑏 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑞 𝑐 𝑞 𝑧 𝑏 𝑎 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 {\displaystyle{\displaystyle b(1-a){{}_{2}\phi_{1}}\left({aq,b\atop c};q,z% \right)-a(1-b){{}_{2}\phi_{1}}\left({a,bq\atop c};q,z\right)=(b-a){{}_{2}\phi_% {1}}\left({a,b\atop c};q,z\right),}}
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    DLMF id
    DLMF:17.6.E21
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