Integral estimates for derivatives of univalent functions.
| Autor: | Kayumov, F. |
|---|---|
| Zdroj: | Lobachevskii Journal of Mathematics; Oct2014, Vol. 35 Issue 4, p402-408, 7p |
| Abstrakt: | Brennan's conjecture for a conformal mapping f of the unit disk is proved under a certain condition on the Taylor coefficients of ln f′. Brennan's conjecture is also proved in the case where 1/ f′ expands into a series of simple fractions absolutely converging to zero. An estimate for the approximation of 1/ f′ by simple fractions is obtained. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
| Externí odkaz: |
|
Full text from SpringerLink