Appell Polynomials and Their Zero Attractors
| dc.creator | Goh, Robert P. Boyer William M. Y. | |
| dc.date | 2008-09-08 | |
| dc.date.accessioned | 2026-07-07T10:01:22Z | |
| dc.date.available | 2026-07-07T10:01:22Z | |
| dc.description | A polynomial family $\{p_n(x)\}$ is Appell if it is given by $\frac{e^{xt}}{g(t)} = \sum_{n=0}^\infty p_n(x)t^n$ or, equivalently, $p_n'(x) = p_{n-1}(x)$. If $g(t)$ is an entire function, $g(0)\neq 0$, with at least one zero, the asymptotics of linearly scaled polynomials $\{p_n(nx)\}$ are described by means of finitely zeros of $g$, including those of minimal modulus. As a consequence, we determine the limiting behavior of their zeros as well as their density. The techniques and results extend our earlier work on Euler polynomials. | |
| dc.description | 23 pages, 9 Figures | |
| dc.identifier | https://arxiv.org/abs/0809.1266 | |
| dc.identifier | http://arxiv.org/abs/0809.1266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168608 | |
| dc.subject | Combinatorics | |
| dc.subject | Complex Variables | |
| dc.subject | 05C38, 15A15 | |
| dc.title | Appell Polynomials and Their Zero Attractors | |
| dc.type | text |