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

Dağlı M. C.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, vol.115, no.1, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 115 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s13398-020-00970-9
  • Journal Name: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Bernoulli and Euler polynomials, Stirling numbers, Closed forms, Determinantal expression, 11B68, 05A19, 11B83, 11C20, 11Y55, BELL POLYNOMIALS, FORMS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, the author presents several closed forms and determinantal expressions involving Stirling numbers of the second kind for higher-order Bernoulli and Euler polynomials by applying the Faa di Bruno formula and some properties of Bell polynomials.