Dynamics of Newton's functions of Barna's polynomials
We define Barna's polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton's functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton&...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202010475 |
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doaj-b8bf376b1a5d43c9bba74c39e93a17c62020-11-24T23:24:27ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01292798410.1155/S0161171202010475Dynamics of Newton's functions of Barna's polynomialsPiyapong Niamsup0Department of Mathematics, Faculty of Science, Chiangmai University, Chiangmai 50200, ThailandWe define Barna's polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton's functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton's functions.http://dx.doi.org/10.1155/S0161171202010475 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Piyapong Niamsup |
| spellingShingle |
Piyapong Niamsup Dynamics of Newton's functions of Barna's polynomials International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Piyapong Niamsup |
| author_sort |
Piyapong Niamsup |
| title |
Dynamics of Newton's functions of Barna's polynomials |
| title_short |
Dynamics of Newton's functions of Barna's polynomials |
| title_full |
Dynamics of Newton's functions of Barna's polynomials |
| title_fullStr |
Dynamics of Newton's functions of Barna's polynomials |
| title_full_unstemmed |
Dynamics of Newton's functions of Barna's polynomials |
| title_sort |
dynamics of newton's functions of barna's polynomials |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
We define Barna's polynomials as real polynomials with all real
roots of which at least four are distinct. In this paper, we
study the dynamics of Newton's functions of such polynomials. We
also give the upper and lower bounds of the Hausdorff dimension
of exceptional sets of these Newton's functions. |
| url |
http://dx.doi.org/10.1155/S0161171202010475 |
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