DLMF:24.4.E18 (Q7431): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11288 / rank
 
Normal rank
Property / Symbols used: Q11288 / qualifier
 
test:

B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}

\BernoullipolyB{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11288 / qualifier
 
xml-id: C24.S2.SS1.m2afdec
Property / Symbols used
 
Property / Symbols used: Q12113 / rank
 
Normal rank
Property / Symbols used: Q12113 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12113 / qualifier
 
xml-id: C24.S1.XMD2.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12115 / rank
 
Normal rank
Property / Symbols used: Q12115 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12115 / qualifier
 
xml-id: C24.S1.XMD4.m1edec
Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1qdec

Latest revision as of 00:27, 2 January 2020

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DLMF:24.4.E18
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    Statements

    B n ( m x ) = m n - 1 k = 0 m - 1 B n ( x + k m ) . Bernoulli-polynomial-B 𝑛 𝑚 𝑥 superscript 𝑚 𝑛 1 superscript subscript 𝑘 0 𝑚 1 Bernoulli-polynomial-B 𝑛 𝑥 𝑘 𝑚 {\displaystyle{\displaystyle B_{n}\left(mx\right)=m^{n-1}\sum_{k=0}^{m-1}B_{n}% \left(x+\frac{k}{m}\right).}}
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    B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S2.SS1.m2afdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C24.S1.XMD2.m1kdec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C24.S1.XMD4.m1edec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1qdec
    0 references