# Definition:Bernoulli Polynomial

## Definition

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.