DLMF:24.4.E19 (Q7432): Difference between revisions

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Property / constraint
 

m = 2 , 4 , 6 , 𝑚 2 4 6 {\displaystyle{\displaystyle m=2,4,6,\dots}}

m=2,4,6,\dots
Property / constraint: m = 2 , 4 , 6 , 𝑚 2 4 6 {\displaystyle{\displaystyle m=2,4,6,\dots}} / rank
 
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Revision as of 17:12, 30 December 2019

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DLMF:24.4.E19
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    E n ( m x ) = - 2 m n n + 1 k = 0 m - 1 ( - 1 ) k B n + 1 ( x + k m ) , Euler-polynomial-E 𝑛 𝑚 𝑥 2 superscript 𝑚 𝑛 𝑛 1 superscript subscript 𝑘 0 𝑚 1 superscript 1 𝑘 Bernoulli-polynomial-B 𝑛 1 𝑥 𝑘 𝑚 {\displaystyle{\displaystyle E_{n}\left(mx\right)=-\frac{2m^{n}}{n+1}\sum_{k=0% }^{m-1}(-1)^{k}B_{n+1}\left(x+\frac{k}{m}\right),}}
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    m = 2 , 4 , 6 , 𝑚 2 4 6 {\displaystyle{\displaystyle m=2,4,6,\dots}}
    0 references