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arXiv · 2006.12970

Certain results for unified Apostol type-truncated exponential-Gould-Hopper polynomials and their relatives

Serkan Araci·Mumtaz Riyasat·Tabinda Nahid·Subuhi Khan
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Abstract

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.

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Serkan Araci, Mumtaz Riyasat, Tabinda Nahid, Subuhi Khan. 2020-06-12. Certain results for unified Apostol type-truncated exponential-Gould-Hopper polynomials and their relatives. https://arxiv.org/abs/2006.12970

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