DLMF:24.16.E13 (Q7583): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12140 / rank
 
Normal rank
Property / Symbols used: Q12140 / qualifier
 
Defining formula:

B n , χ subscript 𝐵 𝑛 𝜒 {\displaystyle{\displaystyle B_{n,\chi}}}

B_{n,\chi}
Property / Symbols used: Q12140 / qualifier
 
xml-id: C24.S16.XMD5.m1cdec

Latest revision as of 01:52, 2 January 2020

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DLMF:24.16.E13
No description defined

    Statements

    Defining formula
    E n ⁡ ( x ) = - 2 1 - n n + 1 ⁢ B n + 1 , χ 4 ⁢ ( 2 ⁢ x - 1 ) . Euler-polynomial-E 𝑛 𝑥 superscript 2 1 𝑛 𝑛 1 subscript 𝐵 𝑛 1 subscript 𝜒 4 2 𝑥 1 {\displaystyle{\displaystyle E_{n}\left(x\right)=-\frac{2^{1-n}}{n+1}B_{n+1,% \chi_{4}}(2x-1).}}
    0 references
    DLMF id
    DLMF:24.16.E13
    0 references
    Symbols used
    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.m2adec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1ldec
    0 references
    Q12112
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1edec
    0 references
    Q12138
    Defining formula
    χ ⁢ ( a ) 𝜒 𝑎 {\displaystyle{\displaystyle\chi(a)}}
    xml-id
    C24.S16.XMD3.m1cdec
    0 references
    Q12140
    Defining formula
    B n , χ subscript 𝐵 𝑛 𝜒 {\displaystyle{\displaystyle B_{n,\chi}}}
    xml-id
    C24.S16.XMD5.m1cdec
    0 references
     
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