Abstract
In this note we shall give a sharpd istortion estimate for a uniformly locally univalent holomorphic function on the unit disk in terms of the norm of pre-Schwarzian derivative. As applications, we shall investigate the growth of coefficients and integral means of such a function and mention a connection with Hardy spaces. We also give norm estimates for typical classes of univalent functions.
Original language | English |
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Pages (from-to) | 179-200 |
Number of pages | 22 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 32 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2002 |
Externally published | Yes |
Keywords
- Coefficient estimate
- Growth estimate
- Pre-Schwarzian derivative
- Uniformly locally univalent
ASJC Scopus subject areas
- Mathematics(all)