DLMF:24.9.E7 (Q7503)

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DLMF:24.9.E7
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    Statements

    Defining formula
    8 ⁢ n π ⁢ ( 4 ⁢ n π ⁢ e ) 2 ⁢ n ⁢ ( 1 + 1 12 ⁢ n ) > ( - 1 ) n ⁢ E 2 ⁢ n > 8 ⁢ n π ⁢ ( 4 ⁢ n π ⁢ e ) 2 ⁢ n . 8 𝑛 𝜋 superscript 4 𝑛 𝜋 𝑒 2 𝑛 1 1 12 𝑛 superscript 1 𝑛 Euler-number-E 2 𝑛 8 𝑛 𝜋 superscript 4 𝑛 𝜋 𝑒 2 𝑛 {\displaystyle{\displaystyle 8\sqrt{\frac{n}{\pi}}\left(\frac{4n}{\pi e}\right% )^{2n}\left(1+\frac{1}{12n}\right)>(-1)^{n}E_{2n}>8\sqrt{\frac{n}{\pi}}\left(% \frac{4n}{\pi e}\right)^{2n}.}}
    0 references
    DLMF id
    DLMF:24.9.E7
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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.m1aadec
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