DLMF:24.4.E27 (Q7440)

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DLMF:24.4.E27
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    Statements

    Defining formula
    B n ⁡ ( 1 2 ) = - ( 1 - 2 1 - n ) ⁢ B n , Bernoulli-polynomial-B 𝑛 1 2 1 superscript 2 1 𝑛 Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{n}\left(\tfrac{1}{2}\right)=-(1-2^{1-n})B_{n},}}
    0 references
    DLMF id
    DLMF:24.4.E27
    0 references
    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1ahdec
    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.m2amdec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1zdec
    0 references
     
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