Zeros of the hypergeometric polynomial F(-n,b;c;z)
| dc.creator | Driver, K | |
| dc.creator | Jordaan, K | |
| dc.date | 2008-12-03 | |
| dc.date.accessioned | 2026-07-07T12:08:45Z | |
| dc.date.available | 2026-07-07T12:08:45Z | |
| dc.description | Our interest lies in describing the zero behaviour of Gauss hypergeometric polynomials $F(-n,b; c; z)$ where $b$ and $c$ are arbitrary parameters. In general, this problem has not been solved and even when $b$ and $c$ are both real, the only cases that have been fully analyzed impose additional restrictions on $b$ and $c$. We review recent results that have been proved for the zeros of several classes of hypergeometric polynomials $F(-n,b; c; z)$ where $b$ and $c$ are real. We show that the number of real zeros of $F(-n,b; c; z)$ for arbitrary real values of the parameters $b$ and $c$, as well as the intervals in which these zeros (if any) lie, can be deduced from corresponding results for Jacobi polynomials. | |
| dc.identifier | https://arxiv.org/abs/0812.0708 | |
| dc.identifier | http://arxiv.org/abs/0812.0708 | |
| dc.identifier | Algorithms for Approximation IV, Proceedings of the 2001 International Symposium: 436-445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209434 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C45 | |
| dc.title | Zeros of the hypergeometric polynomial F(-n,b;c;z) | |
| dc.type | text |