Sufficient Criteria for \varepsilon Starlike Mappings in a Complex Banach Space |
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| Authors: | Ming-Sheng Liu Yu-Can Zhu |
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| Institution: | 1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, Guangdong, People’s Republic of China
2. Department of Mathematics, Fuzhou University, Fuzhou, 350108, Fujian, People’s Republic of China
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| Abstract: | Several sufficient conditions for $\varepsilon $ starlike mappings on the unit ball $B$ in a complex Banach space are provided. From these, we may construct many concrete $\varepsilon $ starlike mappings on $B$ . Furthermore, several growth results associated with these sufficient conditions are also provided. |
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