Properties of harmonic functions which are starlike of complex order with repect to symmetric points
Let H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the funct...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hikari Ltd
2009
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/33623/1/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20repect%20to%20symmetric%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33623/2/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20respect%20to%20the%20symmetric%20points.pdf |
| Summary: | Let H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of complex order with respect to symmetric points. The authors obtain extreme points, convolution and convex combination properties. |
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