DLMF:24.13.E3 (Q7537): 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.m2abdec

Revision as of 00:43, 2 January 2020

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DLMF:24.13.E3
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    Statements

    x x + ( 1 / 2 ) B n ( t ) d t = E n ( 2 x ) 2 n + 1 , superscript subscript 𝑥 𝑥 1 2 Bernoulli-polynomial-B 𝑛 𝑡 𝑡 Euler-polynomial-E 𝑛 2 𝑥 superscript 2 𝑛 1 {\displaystyle{\displaystyle\int_{x}^{x+(1/2)}B_{n}\left(t\right)\mathrm{d}t=% \frac{E_{n}\left(2x\right)}{2^{n+1}},}}
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    B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S2.SS1.m2abdec
    0 references