Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials (Q645371)

The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established. The authors prove also a result that gives the differential equation which the Laguerre-Sheffer polynomials satisfy as well as a recurrence relation for these polynomials.