DLMF:24.4.E25 (Q7438)

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DLMF:24.4.E25
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    Statements

    Defining formula
    B n ⁡ ( 0 ) = ( - 1 ) n ⁢ B n ⁡ ( 1 ) = B n . Bernoulli-polynomial-B 𝑛 0 superscript 1 𝑛 Bernoulli-polynomial-B 𝑛 1 Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{n}\left(0\right)=(-1)^{n}B_{n}\left(1\right)=B% _{n}.}}
    0 references
    DLMF id
    DLMF:24.4.E25
    0 references
    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1afdec
    0 references
    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.m2aldec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1xdec
    0 references
     
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