Source: wikibot/generalized-appell-polynomials

= Generalized Appell polynomials
{wiki=Generalized_Appell_polynomials}

Generalized Appell polynomials are a family of orthogonal polynomials that generalize the classical Appell polynomials. Appell polynomials are a set of polynomials \\(A_n(x)\\) such that the \\(n\\)-th polynomial can be defined via a generating function or a differential equation relationship. Specifically, Appell polynomials satisfy the condition: \\\[ A_n'(x) = n A_\{n-1\}(x) \\\] with a given initial condition.