English

Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers

Number Theory 2021-01-05 v1

Abstract

In this paper, applying the Fa\`a di Bruno formula and some properties of Bell polynomials, several closed formulas and determinantal expressions involving Stirling numbers of the second kind for higher-order Bernoulli and Euler polynomials are presented.

Keywords

Cite

@article{arxiv.2005.03921,
  title  = {Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers},
  author = {Muhammet Cihat Dağlı},
  journal= {arXiv preprint arXiv:2005.03921},
  year   = {2021}
}

Comments

10 pages