DLMF:26.10.E5 (Q7888)

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DLMF:26.10.E5
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    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}}.}}
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    DLMF id
    DLMF:26.10.E5
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    Symbols used
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
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