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The Alexander transform of a spirallike function |
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| Authors: | Yong Chan Kim |
| Institution: | a Department of Mathematics Education, Yeungnam University, 214-1 Daedong Gyongsan 712-749, Republic of Korea b Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan |
| Abstract: | We show that the Alexander transform of a β-spirallike function is univalent when cosβ?1/2, which settles the problem posed by Robertson. We also solved a problem considered by Y.J. Kim and Merkes. |
| Keywords: | Univalent function Integral transform Spirallike function |
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