A Digital Binomial Theorem for Sheffer Sequences
Number Theory
2015-10-30 v1
Abstract
We extend the digital binomial theorem to Sheffer polynomial sequences by demonstrating that their corresponding Sierpi\'nski matrices satisfy a multiplication property that is equivalent to the convolution identity for Sheffer sequences.
Cite
@article{arxiv.1510.08529,
title = {A Digital Binomial Theorem for Sheffer Sequences},
author = {Toufik Mansour and Hieu D. Nguyen},
journal= {arXiv preprint arXiv:1510.08529},
year = {2015}
}
Comments
8 pages