Appell sequence (source code)

= Appell sequence
{wiki=Appell_sequence}

The Appell sequence refers to a specific type of polynomial sequence that is defined through a recurrence relation involving derivatives. It is most commonly associated with the Appell polynomials, which are a set of orthogonal polynomials related to the concept of generating functions. In general, an Appell sequence \\( \\\{ P_n(x) \\\} \\) is defined by the following properties: 1. **Polynomial Nature**: Each \\( P_n(x) \\) is a polynomial of degree \\( n \\).