DLMF:24.6.E7 (Q7471): 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 00:31, 2 January 2020

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DLMF:24.6.E7
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    Statements

    B n ( x ) = k = 0 n 1 k + 1 j = 0 k ( - 1 ) j ( k j ) ( x + j ) n , Bernoulli-polynomial-B 𝑛 𝑥 superscript subscript 𝑘 0 𝑛 1 𝑘 1 superscript subscript 𝑗 0 𝑘 superscript 1 𝑗 binomial 𝑘 𝑗 superscript 𝑥 𝑗 𝑛 {\displaystyle{\displaystyle B_{n}\left(x\right)=\sum_{k=0}^{n}\frac{1}{k+1}% \sum_{j=0}^{k}(-1)^{j}{k\choose j}(x+j)^{n},}}
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    B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S2.SS1.m2adec
    0 references