Linearization coefficients for Sheffer polynomialsets via lowering operators

The lowering operator à associated with a polynomial set {Pn}n≥0 is an operator not depending on n and satisfying the relation ÃPn=nPn−1. In this paper, we express explicitly the linearization coefficients for polynomial sets of Sheffer type using the corresponding lowering operators. We obtain some well-known results as particular cases