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BernoulliB
BernoulliB
[
n
]
gives the Bernoulli number
.
BernoulliB
[
n
,
x
]
gives the Bernoulli polynomial
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The Bernoulli polynomials satisfy the generating function relation
.
The Bernoulli numbers are given by
.
BernoulliB
can be evaluated to arbitrary numerical precision.
BernoulliB
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
First ten Bernoulli numbers:
In[1]:=
Out[1]=
Bernoulli polynomials:
In[1]:=
Out[1]=
Scope
(3)
Applications
(4)
Properties & Relations
(2)
Possible Issues
(2)
Neat Examples
(1)
SEE ALSO
EulerE
Zeta
NorlundB
TUTORIALS
Combinatorial Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Integer Functions
Mathematical Functions
Recurrence and Sum Functions
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. 
. 
. 
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EXAMPLES
Basic Examples 
Scope 