Quintana, Yamilet2023-10-232023-10-232023-04Quintana, Yamilet. Generalized mixed type Bernoulli-Gegenbauer polynomials. in: Kragujevac Journal of Mathematics 47(2) (2023), pp 245–2571450-9628https://hdl.handle.net/10016/38653The generalized mixed type Bernoulli-Gegenbauer polynomials of order (infinite) > 1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized Bernoulli polynomials and Gegenbauer polynomials. The main purpose of this paper is to discuss some of their algebraic and analytic properties.13engThe authorThe article and any associated published materials are distributed under the Creative Commons License CC BY-ND 4.0Atribución-SinDerivadas 3.0 EspañaGeneralized Bernoulli polynomialsGegenbauer polynomialsGbg polynomialsInversion formulaMatrix representationsMatrix-inversion formulaGeneralized mixed type Bernoulli-Gegenbauer polynomialsresearch articleMatemáticashttps://doi.org/10.46793/KgJMat2302.245Qopen access2452257Kragujevac Journal of Mathematics47AR/0000029836