DLMF:24.14.E5 (Q7550)

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DLMF:24.14.E5
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    Defining formula
    ∑ k = 0 n ( n k ) ⁢ E k ⁡ ( h ) ⁢ B n - k ⁡ ( x ) = 2 n ⁢ B n ⁡ ( 1 2 ⁢ ( x + h ) ) , superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 Euler-polynomial-E 𝑘 ℎ Bernoulli-polynomial-B 𝑛 𝑘 𝑥 superscript 2 𝑛 Bernoulli-polynomial-B 𝑛 1 2 𝑥 ℎ {\displaystyle{\displaystyle\sum_{k=0}^{n}{n\choose k}E_{k}\left(h\right)B_{n-% k}\left(x\right)=2^{n}B_{n}\left(\tfrac{1}{2}(x+h)\right),}}
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    DLMF id
    DLMF:24.14.E5
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