DLMF:24.16.E2 (Q7571)

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DLMF:24.16.E2
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    Statements

    Defining formula
    ( 2 e t + 1 ) ℓ ⁢ e x ⁢ t = ∑ n = 0 ∞ E n ( ℓ ) ⁡ ( x ) ⁢ t n n ! , superscript 2 superscript 𝑒 𝑡 1 ℓ superscript 𝑒 𝑥 𝑡 superscript subscript 𝑛 0 generalized-Euler-polynomial-E ℓ 𝑛 𝑥 superscript 𝑡 𝑛 𝑛 {\displaystyle{\displaystyle\left(\frac{2}{e^{t}+1}\right)^{\ell}e^{xt}=\sum_{% n=0}^{\infty}E^{(\ell)}_{n}\left(x\right)\frac{t^{n}}{n!},}}
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    DLMF id
    DLMF:24.16.E2
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    constraint
    | t | < π 𝑡 𝜋 {\displaystyle{\displaystyle|t|<\pi}}
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