On the ω-multiple Charlier polynomials

Abstract 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 \} $ ω N = { 0 , 2 … } , \in \mathbb{R}$ ∈ R . We call these ω -multiple polynomials. Some their properties, such as raising operator, Rodrigues formula, an explicit representation a generating function are obtained. Also $( r+1 )$ ( r + 1 ) th order difference equation given. As example we consider case =\frac{3}{2}$ 3 $\frac{3}{2}$ It also mentioned that, in =1$ obtained results coincide with existing