Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\)
Summary: Recently, \textit{R. Dere} and \textit{Y. Simsek} [Adv. Stud. Contemp. Math., Kyungshang 22, No. 3, 433--438 (2012; Zbl 1270.11018)] have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\). From our properties, we can also derive some interesting identities of Bernoulli polynomials.
scientific article; zbMATH DE number 6134180
scientific article