\begin{definition}[Definition:Bernoulli Polynomial]
The '''Bernoulli polynomials''' $\map {B_n} x$ are the terms of the sequence of polynomials defined as: 
:$\ds \map {B_n} x = \sum_{k \mathop = 0}^n \binom n k B_{n - k} x^k$
where $B_k$ are the Bernoulli numbers.
\end{definition}