DLMF:26.6.E8 (Q7810)

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DLMF:26.6.E8
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    Statements

    Defining formula
    ∑ n , k = 1 ∞ N ⁢ ( n , k ) ⁢ x n ⁢ y k = 1 - x - x ⁢ y - ( 1 - x - x ⁢ y ) 2 - 4 ⁢ x 2 ⁢ y 2 ⁢ x , superscript subscript 𝑛 𝑘 1 𝑁 𝑛 𝑘 superscript 𝑥 𝑛 superscript 𝑦 𝑘 1 𝑥 𝑥 𝑦 superscript 1 𝑥 𝑥 𝑦 2 4 superscript 𝑥 2 𝑦 2 𝑥 {\displaystyle{\displaystyle\sum_{n,k=1}^{\infty}N(n,k)x^{n}y^{k}=\frac{1-x-xy% -\sqrt{(1-x-xy)^{2}-4x^{2}y}}{2x},}}
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    DLMF id
    DLMF:26.6.E8
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1ddec
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    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1kdec
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