PASCAL MATRIX, CLASSICAL POLYNOMIALS AND DIFFERENCE EQUATIONS

Although the Pascal matrix is one of the oldest in the history of Mathematics, owing to both its utility in many applications and its countless properties, it continues to create interest. In this paper we review some recent works on the Pascal matrix by focusing our attention on its relations with linear algebra, difference equations and classical polynomials, such as the Legendre, Bernestein and Laguerre polynomials.