Degenerate versions of hypergeometric Bernoulli-Euler polynomials Articles uri icon

publication date

  • November 2024

start page

  • 3509

end page

  • 3521

issue

  • 8

volume

  • 45

International Standard Serial Number (ISSN)

  • 1995-0802

abstract

  • In this paper, we introduce degenerate versions of the hypergeometric Bernoulli and Euler polynomials. We demonstrate that they form .... Appell sets and provide some of their algebraic properties, including inversion formulas, as well as the associated matrix formulation. Additionally, we focus our attention on the monomiality principle associated with them and determine the corresponding derivative and multiplicative operators.

subjects

  • Mathematics

keywords

  • degenerate bernoulli-euler polynomials; hypergeometric bernoulli-euler polynomials; degenerate hypergeometric bernoulli-euler polynomials