Definition:Bernoulli Polynomial

Definition
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.

Also see

 * Generating Function of Bernoulli Polynomials