SOME IDENTITIES OF CATALAN-DAEHEE POLYNOMIALS ARISING FROM UMBRAL CALCULUS

The Catalan-Daehee polynomials were introduced previously by noting that the generating function of them can be expressed as a Volkenborn p-adic invariant integral on Z(p) of a suitable function. In this paper, we derive several properties and identities associated with those numbers by utilizing umbral calculus techniques. In particular, we express the Catalan-Daehee polynomials in terms of well-known special polynomials, like Bernoulli polynomials, Euler polynomials and falling factorial polynomials, and vice versa.