DLMF:17.12.E3 (Q5460): Difference between revisions

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‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11723 / rank
 
Normal rank
Property / Symbols used: Q11723 / qualifier
 
Defining formula:

β n subscript 𝛽 𝑛 {\displaystyle{\displaystyle\beta_{n}}}

\beta_{n}
Property / Symbols used: Q11723 / qualifier
 
xml-id: C17.S12.XMD2.m1bdec

Latest revision as of 15:10, 2 January 2020

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DLMF:17.12.E3
No description defined

    Statements

    Defining formula
    β n = ∑ j = 0 n α j ( q ; q ) n - j ⁢ ( a ⁢ q ; q ) n + j . subscript 𝛽 𝑛 superscript subscript 𝑗 0 𝑛 subscript 𝛼 𝑗 q-Pochhammer-symbol 𝑞 𝑞 𝑛 𝑗 q-Pochhammer-symbol 𝑎 𝑞 𝑞 𝑛 𝑗 {\displaystyle{\displaystyle\beta_{n}=\sum_{j=0}^{n}\frac{\alpha_{j}}{\left(q;% q\right)_{n-j}\left(aq;q\right)_{n+j}}.}}
    0 references
    DLMF id
    DLMF:17.12.E3
    0 references
    Symbols used
    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.m2adec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1dec
    0 references
    Q11712
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C17.S1.XMD2.m1adec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1bdec
    0 references
    Q11722
    Defining formula
    α n subscript 𝛼 𝑛 {\displaystyle{\displaystyle\alpha_{n}}}
    xml-id
    C17.S12.XMD1.m1bdec
    0 references
    Q11723
    Defining formula
    β n subscript 𝛽 𝑛 {\displaystyle{\displaystyle\beta_{n}}}
    xml-id
    C17.S12.XMD2.m1bdec
    0 references
     
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