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Details for article 152 of 269 found articles
| Title: |
On asymptotically conformal extension of univalent functions |
| Author: |
Becker, J. |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 9 (1987) nr. 1 pages 109-120 |
| Year: |
1987-10 |
| Contents: |
Let ƒ be a univalent function in the unit disk D with a quasiconformal extension such that the complex dilatation tends to zero near the unit circle We compare the complex dilatation with a related quantity describing the asymptotical conformality of the boundary curve [image omitted] and also with two quantities containing the logarithmic derivative ƒ”/ƒ' and the Schwarzian derivative of ƒ respectively We give equivalent conditions for the rate of convergence of these quantities and obtain sharp conditions for smoothness and rectifiability of [image omitted] respectively. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 152 of 269 found articles
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