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

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Property / Symbols used
 
Property / Symbols used: Q11280 / rank
 
Normal rank
Property / Symbols used: Q11280 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11280 / qualifier
 
xml-id: C5.S1.XMD10.m1adec
Property / Symbols used
 
Property / Symbols used: Q11274 / rank
 
Normal rank
Property / Symbols used: Q11274 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11274 / qualifier
 
xml-id: C5.S1.XMD3.m1adec

Latest revision as of 00:10, 2 January 2020

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DLMF:5.18.E2
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    Statements

    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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    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m2aadec
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    q 𝑞 {\displaystyle{\displaystyle q}}
    C5.S1.XMD10.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C5.S1.XMD3.m1adec
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