DLMF:17.2.E31 (Q5321)

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DLMF:17.2.E31
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    [ n m ] q = [ n - 1 m - 1 ] q + q m [ n - 1 m ] q , q-binomial 𝑛 𝑚 𝑞 q-binomial 𝑛 1 𝑚 1 𝑞 superscript 𝑞 𝑚 q-binomial 𝑛 1 𝑚 𝑞 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{n}{m}_{q}=\genfrac{[}{]}{0% .0pt}{}{n-1}{m-1}_{q}+q^{m}\genfrac{[}{]}{0.0pt}{}{n-1}{m}_{q},}}
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