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DLMF:24.4.E33
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Formula:8139
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MaRDI QID
Q8139
Label: DLMF:24.4.E33
Digital Library of Mathematical Functions ID
24.4.E33
E
2
n
(
1
6
)
=
E
2
n
(
5
6
)
=
1
+
3
-
2
n
2
2
n
+
1
E
2
n
.
Euler-polynomial-E
2
𝑛
1
6
Euler-polynomial-E
2
𝑛
5
6
1
superscript
3
2
𝑛
superscript
2
2
𝑛
1
Euler-number-E
2
𝑛
{\displaystyle{\displaystyle E_{2n}\left(\tfrac{1}{6}\right)=E_{2n}\left(% \tfrac{5}{6}\right)=\frac{1+3^{-2n}}{2^{2n+1}}E_{2n}.}}
Constraint(s)
Symbols List
E
n
Euler-number-E
𝑛
{\displaystyle{\displaystyle E_{\NVar{n}}}}
:
E
n
(
x
)
Euler-polynomial-E
𝑛
𝑥
{\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}
:
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
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