| Title: | A Difference Equation Approach to Finite Differences of Polynomials |
| Speaker: | Michael A. Jones Managing Editor, AMS|Mathematical Reviews and Editor, MAA Mathematics Magazine Ann Arbor, MI |
| Abstract: | First, I will explain why the $\left(n+1\right)$st difference sequence is zero for sequence data generated by an $n$th degree polynomial. Then, I will use difference equations to show that if a sequence has its $(n+1)\text{st}$ difference sequence equal to zero, and $n+0$ is the smallest such integer, then a polynomial of degree $n$ can generate the sequential data. The difference equation approach is new. But, more can be said about the polynomial; I will review others' results on how to construct the polynomial. |
| Location: | Palenske 227 |
| Date: | 11/14/2019 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:MichaelAJones:2019:11:14,
author = "{Michael A. Jones}",
title = "{A Difference Equation Approach to Finite Differences of Polynomials}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{14 November}",
year = "{2019}"
}