Some Identities of Symmetry for Carlitz \(q\)-Bernoulli Polynomials Invariant under \(S_4\)

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 investigate some new identities of symmetry for the Carlitz \(q\)-Bernoulli polynomials invariant under \(S_4\), which are derived from \(p\)-adic \(q\)-integrals on \(\mathbb{Z}_p\).