Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\)
type: Item
instance of: scholarly article
title: Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\)
zbMATH Open document ID: 1261.11077
DOI: 10.1155/2012/865721
author: Dae San Kim
author: Taekyun Kim
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 05A40
zbMATH DE Number: 6134180
MaRDI profile type: Publication
Wikidata QID: Q58696994
full work available at URL: https://doi.org/10.1155/2012/865721
OpenAlex ID: W2045921085
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description: scientific article; zbMATH DE number 6134180