Umbral calculus associated with Bernoulli polynomials

2012/12/03 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
Mathematics · #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1212.2589

9 pages

arxiv created 2012/12/03 · openalex publication_date 2012/12/03 · arxiv updated 2012/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Recently, D. S. Kim and T. Kim have studied applications of um- bral calculus associated with p-adic invariant integrals on Zp (see [6]). In this paper, we investigate some interesting properties arising from umbral calculus. These properties are useful in deriving some identities of Bernoulli polynomials.

Citations

• Symmetry p-adic invariant integral on Z_p for Bernoulli and euler polynomials

Related

• Umbral calculus and Euler polynomials
• Poly-Bernoulli polynomials arising from umbral calculus
• Umbral calculus and Frobenius-Euler polynomials
• q-Bernoulli polynomials and q-umbral calculus
• Some identities of polynomials arising from umbral calculus