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

2007/12/02 by T. Kim, Kim, T. · 1 citation
Mathematics · #11B68 #11S80 #Advanced Algebra and Geometry #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.0712.0138

11 pages

arxiv created 2007/12/02 · openalex publication_date 2007/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to investigate several further interesting properties of symmetry for the p-adic invariant integral on Z_p.

Cited by

• Umbral calculus associated with Bernoulli polynomials

Related

• Some identities of symmetry for the generalized Bernoulli numbers and polynomials
• An Identity of the Symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Z_p
• Identities of symmetry for expansion of q-Euler polynomials
• Identities of symmetry for the generalized degenerate Euler polynomials
• Some identities of symmetry for q-Bernoulli polynomials under symmetric group of degree n