  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.
