Some Identities of Symmetry for \(q\)-Bernoulli Polynomials Under Symmetric Group of Degree \(n\)

Dae San Kim1, Taekyun Kim2
1DEPARTMENT OF MATHEMATICS, SOGANG UNIVERSITY, SEOUL 121-742, REPUBLIC OF KOREA
2DEPARTMENT OF MATHEMATICS, KWANGWOON UNIVERSITY, SEOUL 139-701, REPUB- Lic OF KoREA

Abstract

In this paper, we give some new identities of symmetry for \(q\)-Bernoulli polynomials under the symmetric group of degree \(n\) arising from \(p\)-adic \(q\)-integrals on \(\mathbb{Z}_p\).