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DLMF:17.2.E8 - MaRDI portal

DLMF:17.2.E8 (Q5995)

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DLMF:17.2.E8
No description defined

    Statements

    DLMF defining formula
    ( a ; q - 1 ) n ( b ; q - 1 ) n = ( a - 1 ; q ) n ( b - 1 ; q ) n ⁢ ( a b ) n , q-Pochhammer-symbol 𝑎 superscript 𝑞 1 𝑛 q-Pochhammer-symbol 𝑏 superscript 𝑞 1 𝑛 q-Pochhammer-symbol superscript 𝑎 1 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑏 1 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(a;q^{-1}\right)_{n}}{\left(b;q^{-1}% \right)_{n}}=\frac{\left(a^{-1};q\right)_{n}}{\left(b^{-1};q\right)_{n}}\left(% \frac{a}{b}\right)^{n},}}
    0 references
    Symbols used
    Q11269
    DLMF 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.m2agdec
    0 references
    complex base
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1gdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1ddec
    0 references

    Identifiers

     
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