Generalized mixed type Bernoulli-Gegenbauer polynomials Articles uri icon

publication date

  • April 2023

start page

  • 245

end page

  • 257


  • 2


  • 47

International Standard Serial Number (ISSN)

  • 1450-9628

Electronic International Standard Serial Number (EISSN)

  • 2406-3045


  • The 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.


  • Mathematics


  • generalized bernoulli polynomials; gegenbauer polynomials; gbg polynomials; inversion formula; matrix representations; matrix-inversion formula