A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials


Corcino C. B. , Corcino R. B. , ÇEKİM B. , KARGIN L., Nkonkobe S.

QUAESTIONES MATHEMATICAE, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.2989/16073606.2020.1848937
  • Title of Journal : QUAESTIONES MATHEMATICAE

Abstract

In this study we introduce a second type of higher order generalized geometric polynomials. This we achieve by examining the generalized stirling numbers S(n, k, alpha, beta, gamma) [Hsu and Shiue, 1998] for some negative arguments. We study their number theoretic properties, asymptotic properties, and their combinatorial properties using the notion of barred preferential arrangements. We also proposed a generalisation of the classical Euler polynomials and show how these generalized Euler polynomials are related to the second type of higher order generalized geometric polynomials.