| Coefficient Estimates for the Subclasses of Analytic Functions and Bi-Univalent Functions Associated with the Strip Domain |
| Received:September 29, 2016 Revised:July 20, 2017 |
| Key Words:
analytic functions strip domain S\v{a}l\v{a}gean operator subordination
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11561001) and the Higher School Research Foundation of Inner Mongolia Province (Grant No.NJZY16251). |
| Author Name | Affiliation | | Shuhai LI | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China | | Huo TANG | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China | | Li-na MA | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China | | Xiaomeng NIU | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China |
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| Abstract: |
| The S\v{a}l\v{a}gean operator is used here to introduce a new subclass of analytic functions associated with the strip domain. We obtain the bounds of coefficients and Fekete-szeg\"{o} inequality for functions in this class and coefficient estimates of bi-univalent functions for certain subclasses of this class. The results presented here extend some of the earlier results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.05.006 |
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