Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials

In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This represents fascinating fusion between two distinct categories special functions: Bernoulli polynomials and Gegenbauer We focus our attention on some algebraic differential properties class polynomials, including its explicit expressions, derivative formulas, matrix representations, matrix-inversion other relations connecting it with Furthermore, show that unlike do not fulfill either Hanh or Appell conditions.