## Some identities of symmetry for the generalized Bernoulli numbers and polynomials.(English)Zbl 1246.11054

Summary: By the properties of $$p$$-adic invariant integral on $$\mathbb Z_p$$, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of $$p$$-adic invariant integral on $$\mathbb Z_p$$, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.

### MSC:

 11B68 Bernoulli and Euler numbers and polynomials 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.)
Full Text: