| Majorization Problems for Some Subclasses of Starlike Functions |
| Received:May 29, 2018 Revised:July 17, 2018 |
| Key Words:
analytic function subordination majorization starlike function
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11561001; 11271045), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-18-A14), the Natural Science Foundation of Inner Mongolia (Grant No.2018MS01026), the Higher School Foundation of Inner Mongolia (Grant Nos.NJZY16251; NJZY17300; NJZY17301; NJZY18217) and the Natural Science Foundation of Chifeng. |
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| Abstract: |
| In this article, we study several majorizaton properties for the subclasses $SL^*$, $SR^*(a,b)$, $BS^*(\alpha)$, $S_c^*$, $S_q^*$ and $S_R^*$ of starlike functions. Meanwhile, some special cases of our main results are given. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.02.004 |
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