Source: wikibot/bernoulli-polynomials
= Bernoulli polynomials
{wiki=Bernoulli_polynomials}
Bernoulli polynomials are a sequence of classical orthogonal polynomials that arise in various areas of mathematics, particularly in number theory, combinatorics, and approximation theory. They are defined using the following generating function: \\\[ \\frac\{t\}\{e^t - 1\} = \\sum_\{n=0\}^\{\\infty\} B_n \\frac\{t^n\}\{n!