English

On Alzer-Kwong's Identities for Bernoulli polynomials

Number Theory 2020-05-11 v1

Abstract

In this paper, we prove new identities for Bernoulli polynomials that extend Alzer and Kwong's results. The key idea is to use the Volkenborn integral over Zp\mathbb Z_p of the Bernoulli polynomials to establish recurrence relations on the integrands. Also, some known identities are obtained by our approach.

Keywords

Cite

@article{arxiv.2005.03874,
  title  = {On Alzer-Kwong's Identities for Bernoulli polynomials},
  author = {Min-Soo Kim and Daeyeoul Kim and Ji Suk So},
  journal= {arXiv preprint arXiv:2005.03874},
  year   = {2020}
}

Comments

14 pages

R2 v1 2026-06-23T15:23:59.857Z