Coefficients Estimate for Log-Harmonic Mappings
| dc.contributor.advisor | Hunduma Legese | |
| dc.contributor.author | Namomsa Tafasa | |
| dc.date.accessioned | 2025-08-17T22:37:08Z | |
| dc.date.available | 2025-08-17T22:37:08Z | |
| dc.date.issued | 2024-09 | |
| dc.description.abstract | This thesis explores coe_cient estimates for close-to-starlike log-harmonic mappings, On the unit disk, a subclass of univalent log-harmonic functions is de_ned..The results contribute to the understanding of log-harmonic map-pings and propose a Log-Harmonic Coe_cient Conjecture, which parallels classical conjectures in complex analysis. This work lays the foundation for future research aimed at further exploring and validating these conjec- tures and their broader implications. Topics discussed include log-harmonic polynomials, subclasses of log-harmonic mappings, we _rst give a general un- derstanding of how to construct log-harmonic Koebe mappings. additionally, For some special subclasses of log-harmonic mappings, growth and distortion theorems are examined. | |
| dc.identifier.uri | https://etd.aau.edu.et/handle/123456789/6915 | |
| dc.language.iso | en_US | |
| dc.publisher | Addis Ababa University | |
| dc.subject | Coefficients Estimate | |
| dc.subject | Log-Harmonic Mappings | |
| dc.title | Coefficients Estimate for Log-Harmonic Mappings | |
| dc.type | Thesis |