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DLMF:24.16.E6 - MaRDI portal

DLMF:24.16.E6 (Q8269)

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DLMF:24.16.E6
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    Statements

    DLMF defining formula
    n ! ⁢ b n = - 1 n - 1 ⁢ B n ( n - 1 ) , 𝑛 subscript 𝑏 𝑛 1 𝑛 1 generalized-Bernoulli-polynomial-B 𝑛 1 𝑛 {\displaystyle{\displaystyle n!b_{n}=-\frac{1}{n-1}B^{(n-1)}_{n},}}
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    constraint
    n = 2 , 3 , … 𝑛 2 3 … {\displaystyle{\displaystyle n=2,3,\dots}}
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    Symbols used
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5acdec
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    generalized Bernoulli polynomials
    DLMF defining formula
    B n ( ℓ ) ⁡ ( x ) generalized-Bernoulli-polynomial-B ℓ 𝑛 𝑥 {\displaystyle{\displaystyle B^{(\NVar{\ell})}_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S16.Px1.p1.m3acdec
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    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1edec
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    b n
    DLMF defining formula
    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    xml-id
    C24.S16.XMD1.m1adec
    0 references

    Identifiers

     
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