DLMF:17.6.E5 (Q5372)

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DLMF:17.6.E5
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    Statements

    Defining formula
    ϕ 1 2 ⁡ ( a , b a ⁢ q / b ; q , - q / b ) = ( - q ; q ) ∞ ⁢ ( a ⁢ q , a ⁢ q 2 / b 2 ; q 2 ) ∞ ( - q / b , a ⁢ q / b ; q ) ∞ , q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑎 𝑞 𝑏 𝑞 𝑞 𝑏 q-Pochhammer-symbol 𝑞 𝑞 q-multiple-Pochhammer 𝑎 𝑞 𝑎 superscript 𝑞 2 superscript 𝑏 2 superscript 𝑞 2 q-multiple-Pochhammer 𝑞 𝑏 𝑎 𝑞 𝑏 𝑞 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop aq/b};q,-q/b\right% )=\frac{\left(-q;q\right)_{\infty}\left(aq,\ifrac{aq^{2}}{b^{2}};q^{2}\right)_% {\infty}}{\left(-q/b,aq/b;q\right)_{\infty}},}}
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    DLMF id
    DLMF:17.6.E5
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    constraint
    | b | > | q | 𝑏 𝑞 {\displaystyle{\displaystyle|b|>|q|}}
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    Symbols used
    Q11298
    Defining formula
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2acdec
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