مشروع البحث: The Behavior of Holomorphic Functions Near their Essential Singularities
| dc.contributor.advisor | د.عمر اسماعيل الحصادي | |
| dc.date.accessioned | 2024-11-26T09:10:41Z | |
| dc.date.available | 2024-11-26T09:10:41Z | |
| dc.description | Dedication To the precious soul of my father, God rest his soul. To my dear mother, may God prolong her life To my beloved husband, the partner of age and life, Ali. To those who are my asset in life, my dear brothers and sisters. To the adornment and joy of my life, my children (Ahmed, Taha, Iyad, Manisa). | |
| dc.description.abstract | This thesis is intended to study the behavior of holomorphic functions near their essential singularities in the event that the essential singularity is a point in C and the essential singularity is infinity. Essential singularities are characterized by the fact that there is no way to extend the function analytically to remove the singularity. This means that near an essential singularity, holomorphic functions can exhibit highly oscillatory and unpredictable behavior. Therefore, the behavior of such essential singularities is quite wild. We presented the Casorati Weierstrass theorem, which shows that any neighborhood of an isolated essential singularity's image will always be a dense subset of the complex plane, excluding the singularity, meaning that at any complex number, there exists a sequence of points in a neighborhood of an isolated essential singularity where the function values approach that complex number. Keywords: holomorphic function; an isolated essential singularity; the behavior of holomorphic function. | |
| dc.identifier | 2362 | |
| dc.identifier.uri | https://dspace.academy.edu.ly/handle/123456789/351 | |
| dc.subject | The Behavior of Holomorphic Functions Near their Essential Singularities | |
| dc.title | The Behavior of Holomorphic Functions Near their Essential Singularities | |
| dspace.entity.type | Project | |
| project.endDate | 2023 | |
| project.funder.name | الرياضيات | |
| project.investigator | مريم احمد سالم ابوجبهة | |
| project.startDate | 2022 |