DLMF:26.10.E5 (Q7888): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12189 / rank
 
Normal rank
Property / Symbols used: Q12189 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12189 / qualifier
 
xml-id: C26.S9.XMD1.m1cdec

Latest revision as of 14:00, 2 January 2020

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DLMF:26.10.E5
No description defined

    Statements

    Defining formula
    ∑ n = 0 ∞ p ⁡ ( ∈ S , n ) ⁢ q n = ∏ j ∈ S 1 1 - q j . superscript subscript 𝑛 0 restricted-partitions-P absent 𝑆 𝑛 superscript 𝑞 𝑛 subscript product 𝑗 𝑆 1 1 superscript 𝑞 𝑗 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}p\left(\in\!S,n\right)q^{n}=% \prod_{j\in S}\frac{1}{1-q^{j}}.}}
    0 references
    DLMF id
    DLMF:26.10.E5
    0 references
    Symbols used
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
    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.m4addec
    0 references
    Q12176
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C26.S1.XMD3.m1cdec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1ddec
    0 references
    Q12192
    Defining formula
    S 𝑆 {\displaystyle{\displaystyle S}}
    xml-id
    C26.S10.XMD1.m1adec
    0 references
    Q12189
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C26.S9.XMD1.m1cdec
    0 references
     
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