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

 * Generating Function of Bernoulli Polynomials