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Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation |
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| Authors: | Hidetaka Hamada Tatsuhiro Honda Gabriela Kohr |
| Institution: | a Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-Chome, Higashi-ku, Fukuoka 813-8503, Japan b Department of Mathematics, Ariake National College of Technology, 150 Higashihagio-machi, Omuta-shi, Fukuoka 836-8585, Japan c Faculty of Mathematics and Computer Science, Babe?-Bolyai University, 1 M.Kog?lniceanu Str., 400084 Cluj-Napoca, Romania |
| Abstract: | Let B be the unit ball in Cn with respect to an arbitrary norm and let f(z,t) be a g-Loewner chain such that e−tf(z,t)−z has a zero of order k+1 at z=0. In this paper, we obtain growth and covering theorems for  . Moreover, we consider coefficient bounds and examples of mappings in  . |
| Keywords: | Convex mapping Loewner chain g-Loewner chain Parametric representation Spirallike mapping Starlike mapping Transition mapping Univalent holomorphic mapping |
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