|
|||||
|
|
Certain subclasses of multivalent analytic functions defined by multiplier transforms |
|
| Authors: | Zhi-Gang Wang Neng Xu |
| Institution: | a Department of Mathematics and Computing Science, Hengyang Normal University, Hengyang 421008, Hunan, PR China b Department of Mathematics, Changshu Institute of Science and Technology, Changshu 215500, Jiangsu, PR China c Department of Mathematics, “Lucian Blaga” University of Sibiu, 5-7 Ion Ratiu Street, Sibiu 550012, Romania |
| Abstract: | By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved. |
| Keywords: | Analytic functions Multivalent functions Differential subordination Superordination Hadamard product (or convolution) Multiplier transforms |
| 本文献已被 ScienceDirect 等数据库收录！ | |