A Second Type Of Higher Order Generalised Geometric Polynomials and Higher Order Generalised Euler Polynomials
Combinatorics
2020-04-06 v1
Abstract
In this study we introduce a second type of higher order generalised geometric polynomials. This we achieve by examining the generalised stirling numbers [Hsu & Shiue,1998] for some negative arguments. We study their number theoretic properties, asymptotic properties, and study their combinatorial properties using the notion of barred preferential arrangements. We also proposed a generalisation of the classical Euler polynomials and show how these Euler polynomials are related to the second type of higher order generalised geometric polynomials.
Cite
@article{arxiv.2004.01490,
title = {A Second Type Of Higher Order Generalised Geometric Polynomials and Higher Order Generalised Euler Polynomials},
author = {Sithembele Nkonkobea and Levent Karginb and Bayram Çekim and Roberto B. Corcinod and Cristina B. Corcinoe},
journal= {arXiv preprint arXiv:2004.01490},
year = {2020}
}