DLMF:5.18.E2 (Q2189): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: $$q$$ -factorial (as in $$n!_{q}$$ ) / rank
 
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Revision as of 14:59, 30 December 2019

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DLMF:5.18.E2
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    n \lxMathTweak r o l e = P O S T F I X ! q = 1 ( 1 + q ) ( 1 + q + + q n - 1 ) = ( q ; q ) n ( 1 - q ) - n . q-factorial 𝑛 𝑞 1 1 𝑞 1 𝑞 superscript 𝑞 𝑛 1 q-Pochhammer-symbol 𝑞 𝑞 𝑛 superscript 1 𝑞 𝑛 {\displaystyle{\displaystyle n\lxMathTweak{role=POSTFIX}{\@nonfactorial_{q}}=1% (1+q)\cdots(1+q+\dots+q^{n-1})=\left(q;q\right)_{n}(1-q)^{-n}.}}
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