DLMF:17.2.E18 (Q5308): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1qdec
Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11711 / qualifier
 
xml-id: C17.S1.XMD4.m1ndec

Latest revision as of 13:47, 2 January 2020

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DLMF:17.2.E18
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    Statements

    ( a q k ; q ) n - k = ( a ; q ) n ( a ; q ) k . q-Pochhammer-symbol 𝑎 superscript 𝑞 𝑘 𝑞 𝑛 𝑘 q-Pochhammer-symbol 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑎 𝑞 𝑘 {\displaystyle{\displaystyle\left(aq^{k};q\right)_{n-k}=\frac{\left(a;q\right)% _{n}}{\left(a;q\right)_{k}}.}}
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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.m2aqdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C17.S1.XMD1.m1edec
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    q 𝑞 {\displaystyle{\displaystyle q}}
    C17.S1.XMD10.m1qdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C17.S1.XMD4.m1ndec
    0 references