A note on degenerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp

摘要

The degenerate Bernoulli polynomials were introduced by Carlitz and rediscovered later by Ustiniv under the name of Korobov polynomials of the second kind. In this paper, we derive a Witt-type formula for the degenerate Bernoulli polynomials which can be represented by the p-adic invariant integral on Zp. In addition, we introduce the λ-Daehee polynomials and give some relations between the degenerate Bernoulli polynomials and the λ-Daehee polynomials.