Certain properties on Appell-type Changhee polynomials associated with Hermite polynomials

Abstract

In this paper, we introduce a new class of Hermite-based Appell-type Changhee polynomials and
generalized Gould-Hopper-Appell-type Changhee polynomials and present some properties and identities
of these polynomials. The resulting formulas allow a considerable unification because the given definition
uncovers and brings into focus patterns and properties shared by different classes of special functions
and number theory. We obtain new representations, sums and identities which arise from various forms
of generating functions.