DLMF:17.2.E32 (Q5322)

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DLMF:17.2.E32
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    Defining formula
    [ n m ] q = [ n - 1 m ] q + q n - m ⁢ [ n - 1 m - 1 ] q , q-binomial 𝑛 𝑚 𝑞 q-binomial 𝑛 1 𝑚 𝑞 superscript 𝑞 𝑛 𝑚 q-binomial 𝑛 1 𝑚 1 𝑞 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{n}{m}_{q}=\genfrac{[}{]}{0% .0pt}{}{n-1}{m}_{q}+q^{n-m}\genfrac{[}{]}{0.0pt}{}{n-1}{m-1}_{q},}}
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    DLMF id
    DLMF:17.2.E32
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