Work

A Second Type Of Higher Order Generalised Geometric Polynomials and Higher Order Generalised Euler Polynomials

Year: 2020

Type: preprint

Abstract: In this study we introduce a second type of higher order generalised geometric polynomials. This we achieve by examining the generalised stirling numbers $S(n; k;α;β;γ)$ [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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2004.01490

Authors: Nkonkobea, Sithembele, Karginb, Levent, Çekim, Bayram, Corcinod, Roberto B., Corcinoe, Cristina B.

Institutions: Sol Plaatje University, Akdeniz University, Gazi University, Cebu Normal University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3014267443

Cites: 30

Cited by:

Related to: 20