Abstract In this paper, we introduce the parametric trigonometric-type U -Fubini-Bernoulli polynomials and the U -Fubini-Bernoulli-type numbers. Then, we explain their properties and their relationships to other families of polynomials, such as Pollaczek polynomials, Laguerre polynomials, and the Hermite polynomials. In the same way, we also examine the Fourier expansions and derive the integral representation of this family of polynomials.
Ortega et al. (Fri,) studied this question.