DLMF:26.9.E4 (Q7877): Difference between revisions

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Property / constraint
 

n 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}

n\geq 0
Property / constraint: n 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}} / rank
 
Normal rank

Revision as of 18:20, 30 December 2019

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DLMF:26.9.E4
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    Statements

    [ m n ] q = j = 1 n 1 - q m - n + j 1 - q j , q-binomial 𝑚 𝑛 𝑞 superscript subscript product 𝑗 1 𝑛 1 superscript 𝑞 𝑚 𝑛 𝑗 1 superscript 𝑞 𝑗 {\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{m}{n}_{q}=\prod_{j=1}^{n}% \frac{1-q^{m-n+j}}{1-q^{j}},}}
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    n 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}
    0 references