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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |