Certain convex harmonic functions
We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007585 |
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| _version_ | 1832551792454402048 |
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| author | Yong Chan Kim Jay M. Jahangiri Jae Ho Choi |
| author_facet | Yong Chan Kim Jay M. Jahangiri Jae Ho Choi |
| author_sort | Yong Chan Kim |
| collection | DOAJ |
| description | We define and investigate a family of complex-valued harmonic
convex univalent functions related to uniformly convex analytic
functions. We obtain coefficient bounds, extreme points,
distortion theorems, convolution and convex combinations for this
family. |
| format | Article |
| id | doaj-art-2ba5958aafb1420cb739622899153aec |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2ba5958aafb1420cb739622899153aec2025-02-03T06:00:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129845946510.1155/S0161171202007585Certain convex harmonic functionsYong Chan Kim0Jay M. Jahangiri1Jae Ho Choi2Department of Mathematics Education, Yeungnam University, Gyongsan 712-749, KoreaDepartment of Mathematics, Kent State University, Burton, OH 44021-9500, USADepartment of Mathematics Education, Yeungnam University, Gyongsan 712-749, KoreaWe define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.http://dx.doi.org/10.1155/S0161171202007585 |
| spellingShingle | Yong Chan Kim Jay M. Jahangiri Jae Ho Choi Certain convex harmonic functions International Journal of Mathematics and Mathematical Sciences |
| title | Certain convex harmonic functions |
| title_full | Certain convex harmonic functions |
| title_fullStr | Certain convex harmonic functions |
| title_full_unstemmed | Certain convex harmonic functions |
| title_short | Certain convex harmonic functions |
| title_sort | certain convex harmonic functions |
| url | http://dx.doi.org/10.1155/S0161171202007585 |
| work_keys_str_mv | AT yongchankim certainconvexharmonicfunctions AT jaymjahangiri certainconvexharmonicfunctions AT jaehochoi certainconvexharmonicfunctions |