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A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials.
- Source :
- QM - Quaestiones Mathematicae; Jan 2022, Vol. 45 Issue 1, p71-89, 19p
- Publication Year :
- 2022
-
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, α, β, γ) [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. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYNOMIALS
NUMBER theory
EXILE (Punishment)
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 45
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 155181503
- Full Text :
- https://doi.org/10.2989/16073606.2020.1848937