DLMF:24.13.E10 (Q7544): Difference between revisions

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n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}}

n=1,2,\dots
Property / constraint: n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}} / rank
 
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Revision as of 18:13, 30 December 2019

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DLMF:24.13.E10
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    0 1 / 2 E 2 n - 1 ( t ) d t = E 2 n n 2 2 n + 1 , superscript subscript 0 1 2 Euler-polynomial-E 2 𝑛 1 𝑡 𝑡 Euler-number-E 2 𝑛 𝑛 superscript 2 2 𝑛 1 {\displaystyle{\displaystyle\int_{0}^{1/2}E_{2n-1}\left(t\right)\mathrm{d}t=% \frac{E_{2n}}{n2^{2n+1}},}}
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    DLMF:24.13.E10
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    n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}}
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