QUASI MONOMIALITY AND LINEARIZATION COEFFICIENTS FOR SHEFFER POLYNOMIAL SETS

In this paper, we express explicitly the linearization coefficients between three polynomial sets of Sheffer type using their corresponding lowering operators. We obtain some well known results as particular cases. A Crofton-type formula is derived. As application, we give linearization coefficients for Gould-Hopper polynomials as well as some reduction formulae for Kampé de Fériet functions.