Abstract

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.

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