Four-point distortion theorem for complex polynomials
| Autor: | Dubinin, V. N. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its corollaries include inequalities involving the absolute value and certain coefficients of a polynomial. In particular, an exact lower bound is established for maximal moduli of critical values of polynomials $P$ of degree $n$ normalized by $P(0)=0$, $P'(0)\ne0$. Comment: 8 pages, no figures |
| Databáze: | arXiv |
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