DLMF:24.4.E18 (Q7431)

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DLMF:24.4.E18
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    Statements

    test
    B n ⁡ ( m ⁢ x ) = m n - 1 ⁢ ∑ k = 0 m - 1 B n ⁡ ( x + k m ) . Bernoulli-polynomial-B 𝑛 𝑚 𝑥 superscript 𝑚 𝑛 1 superscript subscript 𝑘 0 𝑚 1 Bernoulli-polynomial-B 𝑛 𝑥 𝑘 𝑚 {\displaystyle{\displaystyle B_{n}\left(mx\right)=m^{n-1}\sum_{k=0}^{m-1}B_{n}% \left(x+\frac{k}{m}\right).}}
    0 references
    DLMF id
    DLMF:24.4.E18
    0 references
    Symbols used
    Q11288
    test
    B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS1.m2afdec
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    Q12113
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C24.S1.XMD2.m1kdec
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    Q12115
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C24.S1.XMD4.m1edec
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    Q12110
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1qdec
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    Q12112
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1idec
    0 references
     
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