Recently, symmetric properties of some special polynomials arising from p-adic q-integrals on ${\mathbb{Z}}_{p}$ 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 $S_{n}$ of degree n by using the bosonic p-adic q-integral on ${\mathbb{Z}}_{p}$.

中文翻译：

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2 q -Bernoulli多项式的某些恒等式

最近，许多研究者广泛研究了由$ {\ mathbb {Z}} _ {p} $上的p-adic q积分产生的某些特殊多项式的对称性质。在本文中，我们通过在$ {\ mathbb {Z}} _ {上使用Bosonic p-adic q积分，找到n次对称群$ S_ {n} $下的类型2 q-Bernoulli多项式的对称恒等式p} $。