Harmonic Starlike Functions with Respect to Symmetric Points
In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obta...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/9/1/3 |
| _version_ | 1818249363195953152 |
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| author | Nak Eun Cho Jacek Dziok |
| author_facet | Nak Eun Cho Jacek Dziok |
| author_sort | Nak Eun Cho |
| collection | DOAJ |
| description | In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained. |
| first_indexed | 2024-12-12T15:35:18Z |
| format | Article |
| id | doaj.art-76b39524d72946729cddac3b7ab9bf01 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-12T15:35:18Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-76b39524d72946729cddac3b7ab9bf012022-12-22T00:20:02ZengMDPI AGAxioms2075-16802019-12-0191310.3390/axioms9010003axioms9010003Harmonic Starlike Functions with Respect to Symmetric PointsNak Eun Cho0Jacek Dziok1Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, KoreaFaculty of Mathematics and Natural Sciences, University of Rzeszow, aleja Tadeusza Rejtana 16C, 35-310 Rzeszów, PolandIn the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained.https://www.mdpi.com/2075-1680/9/1/3harmonic functionsjanowski functionsstarlike functionsextreme pointssubordination |
| spellingShingle | Nak Eun Cho Jacek Dziok Harmonic Starlike Functions with Respect to Symmetric Points Axioms harmonic functions janowski functions starlike functions extreme points subordination |
| title | Harmonic Starlike Functions with Respect to Symmetric Points |
| title_full | Harmonic Starlike Functions with Respect to Symmetric Points |
| title_fullStr | Harmonic Starlike Functions with Respect to Symmetric Points |
| title_full_unstemmed | Harmonic Starlike Functions with Respect to Symmetric Points |
| title_short | Harmonic Starlike Functions with Respect to Symmetric Points |
| title_sort | harmonic starlike functions with respect to symmetric points |
| topic | harmonic functions janowski functions starlike functions extreme points subordination |
| url | https://www.mdpi.com/2075-1680/9/1/3 |
| work_keys_str_mv | AT nakeuncho harmonicstarlikefunctionswithrespecttosymmetricpoints AT jacekdziok harmonicstarlikefunctionswithrespecttosymmetricpoints |