Hermite-based Appell polynomials: Properties and applications (Q2518342)

The authors use operational methods to introduce Hermite-based Appell polynomials and discuss their properties and applications. The operational methods were developed by G. Dattoli and his co-workers to investigate some families of orthogonal polynomials in two or more variables or/and multi-index cases. The authors also introduce Hermite-Laguere and Hermite-Sister Celine's polynomials as members of the family of Hermite-based Sheffer polynomials. We mention that the Sheffer polynomials include Appell polynomials as a special case along with the underlying operational formalism and offer a powerfull tool for investigation of the properties of a wide class of polynomials.