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arXiv · 2004.01490

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

Sithembele Nkonkobea·Levent Karginb·Bayram Çekim·Roberto B. Corcinod·Cristina B. Corcinoe
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Abstract

In this study we introduce a second type of higher order generalised geometric polynomials. This we achieve by examining the generalised stirling numbers $S(n; k;\alpha;\beta;\gamma)$ [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.

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Sithembele Nkonkobea, Levent Karginb, Bayram Çekim, Roberto B. Corcinod, Cristina B. Corcinoe. 2020-04-03. A Second Type Of Higher Order Generalised Geometric Polynomials and Higher Order Generalised Euler Polynomials. https://arxiv.org/abs/2004.01490

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