English

A closed form for the generalized Bernoulli polynomials via Fa\`a di Bruno's formula

General Mathematics 2020-05-06 v1

Abstract

We derive a closed form for the generalized Bernoulli polynomial of order nn in terms of Bell polynomials and Stirling numbers of the second kind using the Fa\`a di Bruno's formula.

Keywords

Cite

@article{arxiv.2005.02216,
  title  = {A closed form for the generalized Bernoulli polynomials via Fa\`a di Bruno's formula},
  author = {Sumit Kumar Jha},
  journal= {arXiv preprint arXiv:2005.02216},
  year   = {2020}
}

Comments

4 pages; No figures

R2 v1 2026-06-23T15:19:28.991Z