@article{article_1083754, title={On computational formulas for parametric type polynomials and its applications}, journal={Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={25}, pages={13–30}, year={2023}, DOI={10.25092/baunfbed.1083754}, author={Kılar, Neslıhan}, keywords={Hermite type polynomials, Apostol type numbers and polynomials, parametric type polynomials, special numbers and polynomials, generating functions}, abstract={In this paper, many formulas and identities for computing the r-parametric Hermite type polynomials are given with the help of generating functions. Using generating functions and algebraic methods, a relation is also given including these polynomials and the 2-variable Hermite Kampé de Fériet polynomials. Moreover, many relations and formulas containing the two parametric type of Apostol-Bernoulli polynomials of higher order, the two parametric type of Apostol-Euler polynomials of higher order, the two parametric type of Apostol-Genocchi polynomials of higher order and the Dickson polynomials are obtained. Finally, some special values of these polynomials and their applications with trigonometric functions are presented.}, number={1}, publisher={Balıkesir University}