DLMF:18.29.E2 (Q5997)

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DLMF:18.29.E2
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    Q n ( z ; a , b , c , d q ) z n ( a z - 1 , b z - 1 , c z - 1 , d z - 1 ; q ) ( z - 2 , b c , b d , c d ; q ) , asymptotically-equals subscript 𝑄 𝑛 𝑧 𝑎 𝑏 𝑐 conditional 𝑑 𝑞 superscript 𝑧 𝑛 q-multiple-Pochhammer 𝑎 superscript 𝑧 1 𝑏 superscript 𝑧 1 𝑐 superscript 𝑧 1 𝑑 superscript 𝑧 1 𝑞 q-multiple-Pochhammer superscript 𝑧 2 𝑏 𝑐 𝑏 𝑑 𝑐 𝑑 𝑞 {\displaystyle{\displaystyle Q_{n}(z;a,b,c,d\mid q)\sim\frac{z^{n}\left(az^{-1% },bz^{-1},cz^{-1},dz^{-1};q\right)_{\infty}}{\left(z^{-2},bc,bd,cd;q\right)_{% \infty}},}}
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    DLMF:18.29.E2
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    z , a , b , c , d , q 𝑧 𝑎 𝑏 𝑐 𝑑 𝑞 {\displaystyle{\displaystyle z,a,b,c,d,q}}
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    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2adec
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    ( a 1 , a 2 , , a r ; q ) n q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 subscript 𝑎 𝑟 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m6aadec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C18.S1.XMD2.m1dec
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