Back to Search
Start Over
On the ω-multiple Charlier polynomials
- Source :
- Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- Abstract The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ . We call these polynomials ω-multiple Charlier polynomials. Some of their properties, such as the raising operator, the Rodrigues formula, an explicit representation and a generating function are obtained. Also an ( r + 1 ) $( r+1 )$ th order difference equation is given. As an example we consider the case ω = 3 2 $\omega =\frac{3}{2}$ and define 3 2 $\frac{3}{2}$ -multiple Charlier polynomials. It is also mentioned that, in the case ω = 1 $\omega =1$ , the obtained results coincide with the existing results of multiple Charlier polynomials.
Details
- Language :
- English
- ISSN :
- 16871847
- Volume :
- 2021
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bb8012178af49f8bcbd226b89328370
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13662-021-03278-z