Laguerre-based Appell polynomials: Properties and applications

Abstract

By using certain operational methods, the authors introduce a family of Laguerre-based Appell polynomials. Some properties of Laguerre–Appell polynomials are considered. Further, a correspondence between the Appell family and the Laguerre–Appell family is established, which is proved to be useful for the derivation of results involving Laguerre–Appell polynomials from the results of the corresponding Appell polynomials. Furthermore, several identities for Laguerre-based Bernoulli and Euler polynomials are derived as applications.