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DLMF:24.4.E6 - MaRDI portal

DLMF:24.4.E6 (Q8112)

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DLMF:24.4.E6
No description defined

    Statements

    DLMF defining formula
    ( - 1 ) n + 1 ⁢ E n ⁡ ( - x ) = E n ⁡ ( x ) - 2 ⁢ x n . superscript 1 𝑛 1 Euler-polynomial-E 𝑛 𝑥 Euler-polynomial-E 𝑛 𝑥 2 superscript 𝑥 𝑛 {\displaystyle{\displaystyle(-1)^{n+1}E_{n}\left(-x\right)=E_{n}\left(x\right)% -2x^{n}.}}
    0 references
    Symbols used
    Q12117
    DLMF defining formula
    E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS2.m2abdec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1edec
    0 references
    real or complex
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1edec
    0 references
     
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