Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative
In this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. We derive some res...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/5739196 |
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| _version_ | 1832548562963005440 |
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| author | Xiaofei Li Deng Ding Liping Xu Chuan Qin Songbo Hu |
| author_facet | Xiaofei Li Deng Ding Liping Xu Chuan Qin Songbo Hu |
| author_sort | Xiaofei Li |
| collection | DOAJ |
| description | In this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. We derive some results as special cases. |
| format | Article |
| id | doaj-art-b075c092e7cb487e95ffa53560ec7813 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b075c092e7cb487e95ffa53560ec78132025-02-03T06:13:49ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/57391965739196Certain Subclasses of Multivalent Functions Defined by Higher-Order DerivativeXiaofei Li0Deng Ding1Liping Xu2Chuan Qin3Songbo Hu4Department of Mathematics, University of Macau, Taipa 999078, MacauDepartment of Mathematics, University of Macau, Taipa 999078, MacauSchool of Information and Mathematics, Yangtze University, Jingzhou 434000, ChinaEngineering and Technology College, Yangtze University, Xueyuan Rd., Jingzhou 434000, ChinaSchool of Health Sciences, Wuhan University, Wuhan 430072, ChinaIn this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. We derive some results as special cases.http://dx.doi.org/10.1155/2017/5739196 |
| spellingShingle | Xiaofei Li Deng Ding Liping Xu Chuan Qin Songbo Hu Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative Journal of Function Spaces |
| title | Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative |
| title_full | Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative |
| title_fullStr | Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative |
| title_full_unstemmed | Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative |
| title_short | Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative |
| title_sort | certain subclasses of multivalent functions defined by higher order derivative |
| url | http://dx.doi.org/10.1155/2017/5739196 |
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