DLMF:24.4.E23 (Q7436)

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DLMF:24.4.E23
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    E n - 1 ( x ) = 2 n n ( B n ( 1 2 x + 1 2 ) - B n ( 1 2 x ) ) , Euler-polynomial-E 𝑛 1 𝑥 superscript 2 𝑛 𝑛 Bernoulli-polynomial-B 𝑛 1 2 𝑥 1 2 Bernoulli-polynomial-B 𝑛 1 2 𝑥 {\displaystyle{\displaystyle E_{n-1}\left(x\right)=\frac{2^{n}}{n}\left(B_{n}% \left(\tfrac{1}{2}x+\tfrac{1}{2}\right)-B_{n}\left(\tfrac{1}{2}x\right)\right)% ,}}
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