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DLMF:24.4.E27
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Formula:8133
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MaRDI QID
Q8133
Label: DLMF:24.4.E27
Digital Library of Mathematical Functions ID
24.4.E27
B
n
(
1
2
)
=
-
(
1
-
2
1
-
n
)
B
n
,
Bernoulli-polynomial-B
𝑛
1
2
1
superscript
2
1
𝑛
Bernoulli-number-B
𝑛
{\displaystyle{\displaystyle B_{n}\left(\tfrac{1}{2}\right)=-(1-2^{1-n})B_{n},}}
Constraint(s)
Symbols List
B
n
Bernoulli-number-B
𝑛
{\displaystyle{\displaystyle B_{\NVar{n}}}}
:
B
n
(
x
)
Bernoulli-polynomial-B
𝑛
𝑥
{\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
:
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
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