On generalized Bernoulli-Barnes polynomials Articles uri icon

publication date

  • December 2022

start page

  • 617

end page

  • 636


  • 4


  • 24(74)

International Standard Serial Number (ISSN)

  • 1582-3067


  • The main purpose of this paper is to introduce some generalizations of the Bernoulli-Barnes polynomials. These generalizations come from suitable modifications of the Mittag-Leffler type function linked to the generating function corresponding to the Bernoulli-Barnes polynomials. We provide several algebraic and combinatorial properties for these new classes of polynomials involving the Nörlund polynomials, Frobenius-Euler functions and Stirling numbers of second kind. Also, we deduce some connection formulae between a subclass of generalized Apostol-type Bernoulli-Barnes polynomials and the Jacobi polynomials, generalized Bernoulli polynomials, Genocchi polynomials and Apostol-Euler polynomials, respectively.


  • Mathematics


  • bernoulli-barnes polynomials; generalized apostol-type polynomials; stirling numbers; generating functions; combinatorial identities