The generalized r-Whitney numbers
Combinatorics
2018-07-09 v1
Abstract
In this paper, we define the generalized r-Whitney numbers of the first and second kind. Moreover, we drive the generalized Whitney numbers of the first and second kind. The recurrence relations and the generating functions of these numbers are derived. The relations between these numbers and generalized Stirling numbers of the first and second kind are deduced. Furthermore, some special cases are given. Finally, matrix representation of The relations between Whitney and Stirling numbers are given.
Keywords
Cite
@article{arxiv.1606.04756,
title = {The generalized r-Whitney numbers},
author = {B. S. El-Desouky and F. A. Shiha and Ethar M. Shokr},
journal= {arXiv preprint arXiv:1606.04756},
year = {2018}
}
Comments
21 pages