文章基本信息

标题：On the ω -multiple Charlier polynomials
本地全文：下载
作者：Mehmet Ali Özarslan ; Gizem Baran
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03278-z
出版社：Hindawi Publishing Corporation
摘要：The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , $\omega \in \mathbb{R}$ . 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 $( r 1 )$ th order difference equation is given. As an example we consider the case $\omega =\frac{3}{2}$ and define $\frac{3}{2}$ -multiple Charlier polynomials. It is also mentioned that, in the case $\omega =1$ , the obtained results coincide with the existing results of multiple Charlier polynomials.
关键词：33C45 ; 33D50 ; 33E50