DLMF:27.14.E15 (Q8114)

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DLMF:27.14.E15
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    Statements

    Defining formula
    5 ⁢ ( f ⁡ ( x 5 ) ) 5 ( f ⁡ ( x ) ) 6 = ∑ n = 0 ∞ p ⁡ ( 5 ⁢ n + 4 ) ⁢ x n 5 superscript Euler-phi superscript 𝑥 5 5 superscript Euler-phi 𝑥 6 superscript subscript 𝑛 0 partition-function 5 𝑛 4 superscript 𝑥 𝑛 {\displaystyle{\displaystyle 5\frac{(\mathit{f}\left(x^{5}\right))^{5}}{(% \mathit{f}\left(x\right))^{6}}=\sum_{n=0}^{\infty}p\left(5n+4\right)x^{n}}}
    0 references
    DLMF id
    DLMF:27.14.E15
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    constraint
    | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}
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    Symbols used
    Euler’s reciprocal function
    Defining formula
    f ⁡ ( x ) Euler-phi 𝑥 {\displaystyle{\displaystyle\mathit{f}\left(\NVar{x}\right)}}
    xml-id
    C27.S14.E2.m2addec
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    Q12187
    Defining formula
    p ⁡ ( n ) partition-function 𝑛 {\displaystyle{\displaystyle p\left(\NVar{n}\right)}}
    xml-id
    C26.S2.Px4.p2.m5aedec
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    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1hdec
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