DLMF:17.9.E9 (Q5435)

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DLMF:17.9.E9
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    Statements

    Defining formula
    ϕ 2 3 ⁡ ( q - n , b , c d , e ; q , q ) = ( e / c ; q ) n ( e ; q ) n ⁢ c n ⁢ ϕ 2 3 ⁡ ( q - n , c , d / b d , c ⁢ q 1 - n / e ; q , b ⁢ q e ) , q-hypergeometric-rphis 3 2 superscript 𝑞 𝑛 𝑏 𝑐 𝑑 𝑒 𝑞 𝑞 q-Pochhammer-symbol 𝑒 𝑐 𝑞 𝑛 q-Pochhammer-symbol 𝑒 𝑞 𝑛 superscript 𝑐 𝑛 q-hypergeometric-rphis 3 2 superscript 𝑞 𝑛 𝑐 𝑑 𝑏 𝑑 𝑐 superscript 𝑞 1 𝑛 𝑒 𝑞 𝑏 𝑞 𝑒 {\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-n},b,c\atop d,e};q,q% \right)=\frac{\left(e/c;q\right)_{n}}{\left(e;q\right)_{n}}c^{n}{{}_{3}\phi_{2% }}\left({q^{-n},c,d/b\atop d,cq^{1-n}/e};q,\frac{bq}{e}\right),}}
    0 references
    DLMF id
    DLMF:17.9.E9
    0 references
    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.m2afdec
    0 references
     
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