# On the three families of extended Laguerre-based Apostol-type polynomials

## DOI:

https://doi.org/10.22199/issn.0717-6279-2021-02-0019## Keywords:

Gould-Hopper polynomials, Laguerre type exponential, Unified Apostol type polynomials, Extended Laguerre-based Apostol type polynomials, Fubini polynomials, Bell polynomials## Abstract

*In this paper, we introduce a new class of generalized extended Laguerre-based Apostol-type-Bernoulli, Apostol-type-Euler and Apostoltype-Genocchi polynomials. These Apostol type polynomials are used to connect Fubini-Hermite and Bell-Hermite polynomials and to find new representations. We derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions.*

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## Published

## How to Cite

*Proyecciones (Antofagasta, On line)*, vol. 40, no. 2, pp. 313-334, Feb. 2021.

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Copyright (c) 2021 M. A. Pathan, Waseem A. Khan

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