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

2020/06/12 by Serkan Araci, Mumtaz Riyasat, Araci, Serkan +5
Mathematics · #05A10 #11B65 #11B68 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:05A10 #msc:11B65 #msc:11B68

paper · pdf · doi:10.48550/arxiv.2006.12970

20 pages

arxiv created 2020/06/12 · arxiv updated 2020/06/24

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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