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Recurrence and Sum Functions
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BernoulliB
StirlingS2
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Recurrence and Sum Functions
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NorlundB
NorlundB
[
n
,
a
]
gives Nörlund polynomials
of degree
n
in
a
.
NorlundB
[
n
,
a
,
x
]
gives generalized Bernoulli polynomials
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The Nörlund polynomials satisfy the generating function relation
.
The generalized Bernoulli polynomials satisfy the generating function relation
.
The Bernoulli numbers are given by
. Generalized Bernoulli numbers are given by higher integer values of
a
.
NorlundB
can be evaluated to arbitrary numerical precision.
NorlundB
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
First five Nörlund polynomials:
In[1]:=
Out[1]=
Generalized Bernoulli polynomials:
In[1]:=
Out[1]=
Scope
(3)
Applications
(4)
SEE ALSO
BernoulliB
StirlingS2
MORE ABOUT
Recurrence and Sum Functions
New in 6.0: Mathematical Functions
New in 6.0: Number Theory & Integer Functions
New in 6
© 2008 Wolfram Research, Inc.
. 
.
. Generalized Bernoulli numbers are given by higher integer values of a.
EXAMPLES
Basic Examples 
Scope 