DLMF:17.2.E9 (Q5299): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11711 / qualifier
 
xml-id: C17.S1.XMD4.m1edec

Latest revision as of 14:46, 2 January 2020

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DLMF:17.2.E9
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    Statements

    Defining formula
    ( a ; q ) n = ( q 1 - n / a ; q ) n ⁢ ( - a ) n ⁢ q ( n 2 ) , q-Pochhammer-symbol 𝑎 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑞 1 𝑛 𝑎 𝑞 𝑛 superscript 𝑎 𝑛 superscript 𝑞 binomial 𝑛 2 {\displaystyle{\displaystyle\left(a;q\right)_{n}=\left(q^{1-n}/a;q\right)_{n}(% -a)^{n}q^{\genfrac{(}{)}{0.0pt}{}{n}{2}},}}
    0 references
    DLMF id
    DLMF:17.2.E9
    0 references
    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1abdec
    0 references
    Q11298
    Defining formula
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2ahdec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1hdec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1edec
    0 references
     
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