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DLMF:24.4.E25
(Q8131)
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English
DLMF:24.4.E25
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Statements
DLMF defining formula
B
n
(
0
)
=
(
-
1
)
n
B
n
(
1
)
=
B
n
.
Bernoulli-polynomial-B
𝑛
0
superscript
1
𝑛
Bernoulli-polynomial-B
𝑛
1
Bernoulli-number-B
𝑛
{\displaystyle{\displaystyle B_{n}\left(0\right)=(-1)^{n}B_{n}\left(1\right)=B% _{n}.}}
0 references
Symbols used
Q11083
DLMF defining formula
B
n
Bernoulli-number-B
𝑛
{\displaystyle{\displaystyle B_{\NVar{n}}}}
xml-id
C24.S2.SS1.m1afdec
0 references
Q11259
DLMF defining formula
B
n
(
x
)
Bernoulli-polynomial-B
𝑛
𝑥
{\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
xml-id
C24.S2.SS1.m2aldec
0 references
integer
DLMF defining formula
n
𝑛
{\displaystyle{\displaystyle n}}
xml-id
C24.S1.XMD5.m1xdec
0 references
instance of
Digital Library of Mathematical Functions Formula
0 references
MaRDI profile type
MaRDI formula profile
0 references
Identifiers
Digital Library of Mathematical Functions ID
24.4.E25
0 references
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Mathematics
(1 entry)
mardi
Formula:8131
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