DLMF:24.4.E33 (Q7446)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:24.4.E33
No description defined

    Statements

    Defining formula
    E 2 ⁢ n ⁡ ( 1 6 ) = E 2 ⁢ n ⁡ ( 5 6 ) = 1 + 3 - 2 ⁢ n 2 2 ⁢ n + 1 ⁢ E 2 ⁢ n . Euler-polynomial-E 2 𝑛 1 6 Euler-polynomial-E 2 𝑛 5 6 1 superscript 3 2 𝑛 superscript 2 2 𝑛 1 Euler-number-E 2 𝑛 {\displaystyle{\displaystyle E_{2n}\left(\tfrac{1}{6}\right)=E_{2n}\left(% \tfrac{5}{6}\right)=\frac{1+3^{-2n}}{2^{2n+1}}E_{2n}.}}
    0 references
    DLMF id
    DLMF:24.4.E33
    0 references
    Symbols used
    Q11238
    Defining formula
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1aedec
    0 references
    Q12114
    Defining formula
    E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS2.m2andec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1afdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7446&oldid=31883"