NorlundB

NorlundB[n,a]
gives Nørlund polynomials of degree n in a.

NorlundB[n,a,x]
gives generalized Bernoulli polynomials .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The Nørlund 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.
Introduced in 2007
(6.0)