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Location of the Zeros of Polynomials with a Prescribed Norm
| Content Provider | Scilit |
|---|---|
| Author | Rahman, Q. I. Schmeisser, G. |
| Copyright Year | 1974 |
| Description | For monic polynomials of degree n with prescribed norm on the unit circle or supremum norm on the unit interval we determine bounded regions in the complex plane containing at least zeros. We deduce our results from some new inequalities which are similar to an inequality of Vicente Gonçalves and relate the zeros of a polynomial to its norm. |
| Related Links | http://www.ams.org/tran/1974-196-00/S0002-9947-1974-0349968-1/S0002-9947-1974-0349968-1.pdf |
| Ending Page | 78 |
| Page Count | 10 |
| Starting Page | 69 |
| ISSN | 00029947 |
| e-ISSN | 10886850 |
| DOI | 10.2307/1997013 |
| Journal | Transactions of the American Mathematical Society |
| Volume Number | 196 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | Logic Zeros of Polynomials Polynomials with A Prescribed Norm Location of the Zeros |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |