Linear Combinations of Univalent Mappings with Complex Coefficients
In this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9188781 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566449169760256 |
|---|---|
| author | Zhihong Liu Yulin Cai Ziwei Wang Lei Shi Yingchun Li |
| author_facet | Zhihong Liu Yulin Cai Ziwei Wang Lei Shi Yingchun Li |
| author_sort | Zhihong Liu |
| collection | DOAJ |
| description | In this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main results. |
| format | Article |
| id | doaj-art-f5022b674595416c916ffa29e785caac |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f5022b674595416c916ffa29e785caac2025-02-03T01:04:18ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/91887819188781Linear Combinations of Univalent Mappings with Complex CoefficientsZhihong Liu0Yulin Cai1Ziwei Wang2Lei Shi3Yingchun Li4College of Science, Guilin University of Technology, Guilin 541006, Guangxi, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, Guangxi, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, Guangxi, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, Guangxi, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, Guangxi, ChinaIn this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main results.http://dx.doi.org/10.1155/2021/9188781 |
| spellingShingle | Zhihong Liu Yulin Cai Ziwei Wang Lei Shi Yingchun Li Linear Combinations of Univalent Mappings with Complex Coefficients Journal of Mathematics |
| title | Linear Combinations of Univalent Mappings with Complex Coefficients |
| title_full | Linear Combinations of Univalent Mappings with Complex Coefficients |
| title_fullStr | Linear Combinations of Univalent Mappings with Complex Coefficients |
| title_full_unstemmed | Linear Combinations of Univalent Mappings with Complex Coefficients |
| title_short | Linear Combinations of Univalent Mappings with Complex Coefficients |
| title_sort | linear combinations of univalent mappings with complex coefficients |
| url | http://dx.doi.org/10.1155/2021/9188781 |
| work_keys_str_mv | AT zhihongliu linearcombinationsofunivalentmappingswithcomplexcoefficients AT yulincai linearcombinationsofunivalentmappingswithcomplexcoefficients AT ziweiwang linearcombinationsofunivalentmappingswithcomplexcoefficients AT leishi linearcombinationsofunivalentmappingswithcomplexcoefficients AT yingchunli linearcombinationsofunivalentmappingswithcomplexcoefficients |