Applications of Extremal Theorem to a Class of p-Valent Analytic Functions
A subclass J_{p,\lambda}^{m,l}(\xi,\alpha) of p-valent analytic functions with a generalized multiplier transformation operator is introduced. We discuss the compactness as well as the extreme points of J_{p,\lambda}^{m,l}(\xi,\alpha) under the topology of uniform convergence. Finally, as one of the...
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| Language: | English |
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Etamaths Publishing
2016-01-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/624 |
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doaj-6eb544b897f645ec91553bda4a6741612021-08-26T13:44:37ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-01-0110118154Applications of Extremal Theorem to a Class of p-Valent Analytic FunctionsLiangpeng Xiong0Xiaoli Liu1Chengdu University of TechnologyChengdu University of TechnologyA subclass J_{p,\lambda}^{m,l}(\xi,\alpha) of p-valent analytic functions with a generalized multiplier transformation operator is introduced. We discuss the compactness as well as the extreme points of J_{p,\lambda}^{m,l}(\xi,\alpha) under the topology of uniform convergence. Finally, as one of the applications of extremal theorem, we solve the sharp distortion inequalities problem. Several related basic results and remarks about the old or new classes are also presented.http://etamaths.com/index.php/ijaa/article/view/624 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Liangpeng Xiong Xiaoli Liu |
| spellingShingle |
Liangpeng Xiong Xiaoli Liu Applications of Extremal Theorem to a Class of p-Valent Analytic Functions International Journal of Analysis and Applications |
| author_facet |
Liangpeng Xiong Xiaoli Liu |
| author_sort |
Liangpeng Xiong |
| title |
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions |
| title_short |
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions |
| title_full |
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions |
| title_fullStr |
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions |
| title_full_unstemmed |
Applications of Extremal Theorem to a Class of p-Valent Analytic Functions |
| title_sort |
applications of extremal theorem to a class of p-valent analytic functions |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2016-01-01 |
| description |
A subclass J_{p,\lambda}^{m,l}(\xi,\alpha) of p-valent analytic functions with a generalized multiplier transformation operator is introduced. We discuss the compactness as well as the extreme points of J_{p,\lambda}^{m,l}(\xi,\alpha) under the topology of uniform convergence. Finally, as one of the applications of extremal theorem, we solve the sharp distortion inequalities problem. Several related basic results and remarks about the old or new classes are also presented. |
| url |
http://etamaths.com/index.php/ijaa/article/view/624 |
| work_keys_str_mv |
AT liangpengxiong applicationsofextremaltheoremtoaclassofpvalentanalyticfunctions AT xiaoliliu applicationsofextremaltheoremtoaclassofpvalentanalyticfunctions |
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1721193487084290048 |