Some identities of type 2 q-Bernoulli polynomials

Abstract

Abstract Recently, symmetric properties of some special polynomials arising from p-adic q-integrals on Z p ${\mathbb{Z}}_{p}$ have been investigated extensively by many researchers. In this paper, we find some symmetric identities for type 2 q-Bernoulli polynomials under the symmetry group S n $S_{n}$ of degree n by using the bosonic p-adic q-integral on Z p ${\mathbb{Z}}_{p}$ .

Keywords

• Bosonic p-adic q-integral
• Type 2 q-Bernoulli numbers
• Symmetry group of degree n