论文标题
统一的Apostol类型截断的统一指数 - 霍珀多项式及其亲戚的某些结果
Certain results for unified Apostol type-truncated exponential-Gould-Hopper polynomials and their relatives
论文作者
论文摘要
本文旨在介绍Apostol型截断的统一家族的指数 - 雄性多项式，并通过生成函数来表征其属性。建立了Apostol类型截断的指数 - 霍珀多项式的生成函数的统一介绍，并给出了其应用。通过使用操作技术，证明了统一家族的准经济学特性。获得了几种与这些多项式相关的明确表示和乘法公式。通过将不同的分析手段应用于生成函数，建立了一些涉及多个功率和hurwitz-lerch zeta函数的一般对称身份。
The present article aims to introduce a unified family of the Apostol type-truncated exponential-Gould-Hopper polynomials and to characterize its properties via generating functions. A unified presentation of the generating function for the Apostol type-truncated exponential-Gould-Hopper polynomials is established and its applications are given. By the use of operational techniques, the quasi-monomial properties for the unified family are proved. Several explicit representations and multiplication formulas related to these polynomials are obtained. Some general symmetric identities involving multiple power sums and Hurwitz-Lerch zeta functions are established by applying different analytical means on generating functions.
