The object of this study is to introduce the new generalized discrete U-Bernoulli-Korobov-kind polynomials.Additionally, we give several of its explicit representations, as well as relations with other families of polynomials.We state some properties for the ∆ and ∇ operators associated with this polynomial class.Finally, we focus our attention on the orthogonality relation and the three-term recurrence formula satisfied by these polynomials.
