Properties of Bernoulli polynomials

Abstract

In 1713, Swiss mathematician Jacob Bernoulli published his work about “Bernoulli Numbers”. In this paper, we try to generalize the Bernoulli numbers to class of polynomials called Bernoulli Polynomials. In particular, we see that the constant terms of Bernoulli polynomials are precisely the Bernoulli numbers. After introducing Bernoulli numbers and Bernoulli polynomials we discuss few interesting properties of Bernoulli polynomials.