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DLMF:24.17.E3 - MaRDI portal

DLMF:24.17.E3 (Q8279)

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DLMF:24.17.E3
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    Statements

    DLMF defining formula
    S n ⁢ ( x ) = E ~ n ⁡ ( x + 1 2 ⁢ n + 1 2 ) E ~ n ⁡ ( 1 2 ⁢ n + 1 2 ) , subscript 𝑆 𝑛 𝑥 periodic-Euler-polynomial-E 𝑛 𝑥 1 2 𝑛 1 2 periodic-Euler-polynomial-E 𝑛 1 2 𝑛 1 2 {\displaystyle{\displaystyle S_{n}(x)=\frac{\widetilde{E}_{n}\left(x+\tfrac{1}% {2}n+\tfrac{1}{2}\right)}{\widetilde{E}_{n}\left(\tfrac{1}{2}n+\tfrac{1}{2}% \right)},}}
    0 references
    constraint
    n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}
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    Symbols used
    Q12149
    DLMF defining formula
    E ~ n ⁡ ( x ) periodic-Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle\widetilde{E}_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS3.m2aadec
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    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1dec
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    real or complex
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1adec
    0 references

    Identifiers

     
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