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

Dae San Kim, Taekyun Kim and Dmitry V. Dolgy

Applied Mathematics and Computation, 2015, vol. 259, issue C, 198-204

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.

Keywords: Degenerate Bernoulli polynomial; p-Adic invariant integral; λ-Daehee polynomial (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:198-204

DOI: 10.1016/j.amc.2015.02.068

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