DLMF:26.10.E6 (Q7889): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1edec

Latest revision as of 14:00, 2 January 2020

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DLMF:26.10.E6
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    Statements

    Defining formula
    p ⁡ ( 𝒟 , n ) = 1 n ⁢ ∑ t = 1 n p ⁡ ( 𝒟 , n - t ) ⁢ ∑ j | t j  odd j , restricted-partitions-P 𝒟 𝑛 1 𝑛 superscript subscript 𝑡 1 𝑛 restricted-partitions-P 𝒟 𝑛 𝑡 subscript divides 𝑗 𝑡 j  odd 𝑗 {\displaystyle{\displaystyle p\left(\mathcal{D},n\right)=\frac{1}{n}\sum_{t=1}% ^{n}p\left(\mathcal{D},n-t\right)\sum_{\begin{subarray}{c}j\mathbin{|}t\\ \mbox{\scriptsize$j$ odd}\end{subarray}}j,}}
    0 references
    DLMF id
    DLMF:26.10.E6
    0 references
    Symbols used
    Q12191
    Defining formula
    p ⁡ ( condition , n ) restricted-partitions-P condition 𝑛 {\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}
    xml-id
    C26.S10.SS1.m4aedec
    0 references
    Q12176
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C26.S1.XMD3.m1ddec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1edec
    0 references
     
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