English

Representing polynomials by degenerate Bernoulli polynomials

Number Theory 2021-08-12 v1

Abstract

In this paper, we consider the problem of representing any polynomial in terms of the degenerate Bernoulli polynomials and more generally of the higher-order degenerate Bernoulli polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

Keywords

Cite

@article{arxiv.2108.05049,
  title  = {Representing polynomials by degenerate Bernoulli polynomials},
  author = {Dae san Kim and Taekyun Kim},
  journal= {arXiv preprint arXiv:2108.05049},
  year   = {2021}
}

Comments

19 pages

R2 v1 2026-06-24T05:01:03.353Z