DLMF:24.7.E6 (Q7482)

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DLMF:24.7.E6
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    Statements

    Defining formula
    E 2 ⁢ n = ( - 1 ) n ⁢ 2 2 ⁢ n + 1 ⁢ ∫ 0 ∞ t 2 ⁢ n ⁢ sech ⁡ ( π ⁢ t ) ⁢ d t . Euler-number-E 2 𝑛 superscript 1 𝑛 superscript 2 2 𝑛 1 superscript subscript 0 superscript 𝑡 2 𝑛 𝜋 𝑡 𝑡 {\displaystyle{\displaystyle E_{2n}=(-1)^{n}2^{2n+1}\int_{0}^{\infty}t^{2n}% \operatorname{sech}\left(\pi t\right)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:24.7.E6
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    Symbols used
    Q11238
    Defining formula
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1adec
    0 references
     
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