Definition:Bernoulli Polynomial

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The Bernoulli polynomials $B_n \left({x}\right)$ are the terms of the sequence of polynomials defined as:

$\displaystyle B_n \left({x}\right) = \sum_{k \mathop = 0}^n \binom n k B_{n - k} x^k$

where $B_k$ are the Bernoulli numbers.

Also see

  • Results about the Bernoulli polynomials can be found here.

Source of Name

This entry was named for Jacob Bernoulli.