Abstract
We show that the Alexander transform of a β-spirallike function is univalent when cos β ≤ 1 / 2, which settles the problem posed by Robertson. We also solved a problem considered by Y.J. Kim and Merkes.
Original language | English |
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Pages (from-to) | 608-611 |
Number of pages | 4 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 325 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2007 Jan 1 |
Externally published | Yes |
Keywords
- Integral transform
- Spirallike function
- Univalent function
ASJC Scopus subject areas
- Analysis
- Applied Mathematics