DLMF:17.4.E5 (Q5354)

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DLMF:17.4.E5
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    Statements

    Defining formula
    Φ ( 1 ) ⁡ ( a ; b , b ′ ; c ; q ; x , y ) = ∑ m , n ≥ 0 ( a ; q ) m + n ⁢ ( b ; q ) m ⁢ ( b ′ ; q ) n ⁢ x m ⁢ y n ( q ; q ) m ⁢ ( q ; q ) n ⁢ ( c ; q ) m + n , q-Appell-Phi-1 𝑎 𝑏 superscript 𝑏 ′ 𝑐 𝑞 𝑥 𝑦 subscript 𝑚 𝑛 0 q-Pochhammer-symbol 𝑎 𝑞 𝑚 𝑛 q-Pochhammer-symbol 𝑏 𝑞 𝑚 q-Pochhammer-symbol superscript 𝑏 ′ 𝑞 𝑛 superscript 𝑥 𝑚 superscript 𝑦 𝑛 q-Pochhammer-symbol 𝑞 𝑞 𝑚 q-Pochhammer-symbol 𝑞 𝑞 𝑛 q-Pochhammer-symbol 𝑐 𝑞 𝑚 𝑛 {\displaystyle{\displaystyle\Phi^{(1)}\left(a;b,b^{\prime};c;q;x,y\right)=\sum% _{m,n\geq 0}\frac{\left(a;q\right)_{m+n}\left(b;q\right)_{m}\left(b^{\prime};q% \right)_{n}x^{m}y^{n}}{\left(q;q\right)_{m}\left(q;q\right)_{n}\left(c;q\right% )_{m+n}},}}
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    DLMF id
    DLMF:17.4.E5
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