Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp

Recently, Dere and Simsek (2012) 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 Zp. From our properties, we can also derive some interesting identities of Ber...

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Bibliographic Details
Main Authors: Dae San Kim, Taekyun Kim
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/865721
Description
Summary:Recently, Dere and Simsek (2012) 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 Zp. From our properties, we can also derive some interesting identities of Bernoulli polynomials.
ISSN:1085-3375
1687-0409