BernoulliB

BernoulliB[n]

gives the Bernoulli number .

BernoulliB[n,x]

gives the Bernoulli polynomial .

Details

  • 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

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Basic Examples  (2)

First 10 Bernoulli numbers:

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Bernoulli polynomials:

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Scope  (3)

Applications  (6)

Properties & Relations  (3)

Possible Issues  (2)

Neat Examples  (2)

See Also

EulerE  Zeta  NorlundB

Tutorials

Introduced in 1988
(1.0)
| Updated in 2008
(7.0)