Laguerre-based Appell polynomials: Properties and applications
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. (C) 2010 Elsevier Ltd. All rights reserved.
laguerre-appell polynomials monomiality principle 2-variable laguerre polynomials apostol-bernoulli polynomials apostol-euler polynomials