Kılar, Neslıhan2024-11-072024-11-0720231301-79852536-5142https://doi.org/10.25092/baunfbed.1083754https://search.trdizin.gov.tr/tr/yayin/detay/1156941https://hdl.handle.net/11480/12365In 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.eninfo:eu-repo/semantics/openAccessKimyaAnalitikMatematikKimyaUygulamalıKimyaTıbbiGenerating functionsApostol type numbers and polynomialsparametric type polynomialsspecial numbers and polynomialsHermite type polynomialsArticle251133010.25092/baunfbed.10837541156941