In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials. Utilizing the operational method, the generating functions, series expansions, and differential equations for these polynomials are constructed. Various considerable identities and relations related to these polynomials are also derived. In addition, certain members of the parametric kinds of Gould-Hopper-Eulerian-type polynomials are presented and the corresponding results related to these members are derived. Further, with the help of computer-program (Mathematica), certain interesting zeros and graphical representations of some members of parametric kinds of Gould-Hopper-Eulerian-type family are presented.

在本研究工作中，将Gould-Hopper多项式和欧拉型多项式这两个比较重要的特殊多项式合并，介绍了Gould-Hopper-Eulerian型多项式的参数类型。利用运算方法，构造了这些多项式的生成函数、级数展开和微分方程。还导出了与这些多项式相关的各种相当大的恒等式和关系。此外，还给出了Gould-Hopper-Eulerian型多项式参数类型的某些成员，并推导出了与这些成员相关的相应结果。此外，借助计算机程序（Mathematica)，给出了一些有趣的零点和一些参数类型的 Gould-Hopper-Eulerian 型家族成员的图形表示。