@Article{ATA-33-375,
author = {P. Baliarsingh and L. Nayak},
title = {On a Difference Matrix and Its Properties},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {4},
pages = {375--383},
abstract = {<p style="text-align: justify;">In the present paper, a new difference matrix via difference operator $D$ is
introduced. Let $x = (x_k)$ be a sequence of real numbers, then the difference operator $D$ is defined by $D(x)_n = ∑^n_{k=0} (−1)^k\Bigg(\begin{matrix}n \\ n−k \end{matrix}\Bigg)x_k$, where $n = 0,1,2,3,···$. Several interesting
properties of the new operator $D$ are discussed.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n4.7},
url = {http://global-sci.org/intro/article_detail/ata/10704.html}
}