DLMF:24.9.E5 (Q7501)

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DLMF:24.9.E5
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    Statements

    Defining formula
    4 ⁢ ( 2 ⁢ n - 1 ) ! π 2 ⁢ n ⁢ 2 2 ⁢ n - 1 2 2 ⁢ n - 2 > ( - 1 ) n ⁢ E 2 ⁢ n - 1 ⁡ ( x ) > 0 . 4 2 𝑛 1 superscript 𝜋 2 𝑛 superscript 2 2 𝑛 1 superscript 2 2 𝑛 2 superscript 1 𝑛 Euler-polynomial-E 2 𝑛 1 𝑥 0 {\displaystyle{\displaystyle\frac{4(2n-1)!}{\pi^{2n}}\frac{2^{2n}-1}{2^{2n}-2}% >(-1)^{n}E_{2n-1}\left(x\right)>0.}}
    0 references
    DLMF id
    DLMF:24.9.E5
    0 references
    Symbols used
    Q12114
    Defining formula
    E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS2.m2aadec
    0 references
     
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