DLMF:24.16.E6 (Q7576): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1edec
Property / Symbols used
 
Property / Symbols used: Q12136 / rank
 
Normal rank
Property / Symbols used: Q12136 / qualifier
 
Defining formula:

b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}

b_{n}
Property / Symbols used: Q12136 / qualifier
 
xml-id: C24.S16.XMD1.m1adec

Latest revision as of 01:50, 2 January 2020

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DLMF:24.16.E6
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    Statements

    n ! b n = - 1 n - 1 B n ( n - 1 ) , 𝑛 subscript 𝑏 𝑛 1 𝑛 1 generalized-Bernoulli-polynomial-B 𝑛 1 𝑛 {\displaystyle{\displaystyle n!b_{n}=-\frac{1}{n-1}B^{(n-1)}_{n},}}
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    DLMF:24.16.E6
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    n = 2 , 3 , 𝑛 2 3 {\displaystyle{\displaystyle n=2,3,\dots}}
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5acdec
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    B n ( ) ( x ) generalized-Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B^{(\NVar{\ell})}_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S16.Px1.p1.m3acdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1edec
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    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    C24.S16.XMD1.m1adec
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