DLMF:24.5.E1 (Q7453): 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.m2adec

Revision as of 00:29, 2 January 2020

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DLMF:24.5.E1
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    Statements

    test
    ∑ k = 0 n - 1 ( n k ) ⁢ B k ⁡ ( x ) = n ⁢ x n - 1 , superscript subscript 𝑘 0 𝑛 1 binomial 𝑛 𝑘 Bernoulli-polynomial-B 𝑘 𝑥 𝑛 superscript 𝑥 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n-1}{n\choose k}B_{k}\left(x\right)=nx% ^{n-1},}}
    0 references
    DLMF id
    DLMF:24.5.E1
    0 references
    constraint
    n = 2 , 3 , … 𝑛 2 3 … {\displaystyle{\displaystyle n=2,3,\dots}}
    0 references
    Symbols used
    Q11288
    test
    B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS1.m2adec
    0 references
     
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