DLMF:24.4.E5 (Q7418)

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DLMF:24.4.E5
No description defined

    Statements

    Defining formula
    ( - 1 ) n ⁢ B n ⁡ ( - x ) = B n ⁡ ( x ) + n ⁢ x n - 1 , superscript 1 𝑛 Bernoulli-polynomial-B 𝑛 𝑥 Bernoulli-polynomial-B 𝑛 𝑥 𝑛 superscript 𝑥 𝑛 1 {\displaystyle{\displaystyle(-1)^{n}B_{n}\left(-x\right)=B_{n}\left(x\right)+% nx^{n-1},}}
    0 references
    DLMF id
    DLMF:24.4.E5
    0 references
    Symbols used
    Q11288
    Defining formula
    B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS1.m2abdec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1ddec
    0 references
    Q12112
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1ddec
    0 references
     
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