DLMF:5.11.E18 (Q2144)

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DLMF:5.11.E18
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    Statements

    Defining formula
    H k ⁢ ( a , b ) = ( a - b 2 ⁢ k ) ⁢ B 2 ⁢ k ( a - b + 1 ) ⁡ ( a - b + 1 2 ) . subscript 𝐻 𝑘 𝑎 𝑏 binomial 𝑎 𝑏 2 𝑘 generalized-Bernoulli-polynomial-B 𝑎 𝑏 1 2 𝑘 𝑎 𝑏 1 2 {\displaystyle{\displaystyle H_{k}(a,b)=\genfrac{(}{)}{0.0pt}{}{a-b}{2k}B^{(a-% b+1)}_{2k}\left(\frac{a-b+1}{2}\right).}}
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    DLMF id
    DLMF:5.11.E18
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