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| Sharp Growth Theorems and Coefficient Bounds for Starlike Mappings in Several Complex Variables |
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Citation： |
Hidetaka HAMADA,Tatsuhiro HONDA.Sharp Growth Theorems and Coefficient Bounds for Starlike Mappings in Several Complex Variables[J].Chinese Annals of Mathematics B,2008,29(4):353~368 |
| Page view： 1277
Net amount： 935 |
Authors： |
Hidetaka HAMADA; Tatsuhiro HONDA |
Foundation： |
Grant-in-Aid for Scientific Research (C) from Japan Society for the Promotion of Science (Nos. 19540205, 2007; 17540138, 2007) |
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| Abstract： |
Let $B$ be the unit ball in a complex Banach space. Let $S_{k+1}^*(B)$ be the family of normalized starlike mappings $f$ on $B$ such that $z=0$ is a zero of order $k+1$ of $f(z)-z$. The authors obtain sharp growth and covering theorems, as well as sharp coefficient bounds for various subsets of $S_{k+1}^*(B)$. |
Keywords： |
Sharp coefficient bound, Sharp covering theorem, Sharp growth theorem, Starlike mapping, Zero of order $k$ |
Classification： |
32H02, 30C45 |
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