DLMF:17.2.E20 (Q5310)

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DLMF:17.2.E20
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    Statements

    Defining formula
    ( a ; q ) k ⁢ n = ( a , a ⁢ q , … , a ⁢ q k - 1 ; q k ) n . q-Pochhammer-symbol 𝑎 𝑞 𝑘 𝑛 q-multiple-Pochhammer 𝑎 𝑎 𝑞 … 𝑎 superscript 𝑞 𝑘 1 superscript 𝑞 𝑘 𝑛 {\displaystyle{\displaystyle\left(a;q\right)_{kn}=\left(a,aq,\dots,aq^{k-1};q^% {k}\right)_{n}.}}
    0 references
    DLMF id
    DLMF:17.2.E20
    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.m2asdec
    0 references
    Q11713
    Defining formula
    ( 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}}}}
    xml-id
    C17.S2.SS1.p1.m6acdec
    0 references
    Q11715
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C17.S1.XMD1.m1fdec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1sdec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1pdec
    0 references
     
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