arXiv subjects
Publications and source records attributed to M. R. Darafsheh.
In this paper we introduce the generalization of Multi Poly-Euler polynomials and we investigate some relationship involving Multi Poly-Euler polynomials. Obtaining a closed formula for generalization of Multi Poly-Euler numbers therefore seems to be a natural and important problem.
The aim of this paper is the computing one of topological indices of One-pentagonal carbon Nanocone. One-pentagonal carbon nanocone consists of one pentagone as its core surrounded by layers of hexagons .if there are n layers,then the graph of this molecules is denoted by G_n .In This paper our aim is to calculate the hyper-Wiener index of G_n explicitly .
The Concepts of poly-Bernoulli numbers $B_n^{(k)}$, poly-Bernoulli polynomials $B_n^{k}{(t)}$ and the generalized poly-bernoulli numbers $B_{n}^{(k)}(a,b)$ are generalized to $B_{n}^{(k)}(t,a,b,c)$ which is called the generalized poly-Bernoulli polynomials depending on real parameters \textit{a,b,c}. Some properties of these polynomials and some relationships between $B_n^{k}$, $B_n^{(k)}(t)$, $B_{n}^{(k)}(a,b)$ and $B_{n}^{(k)}(t,a,b,c)$ are established