Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914949464326144 |
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| author | Zhao, Hanghang Liu, Ming-Sheng Kou, Kit Ian |
| author_facet | Zhao, Hanghang Liu, Ming-Sheng Kou, Kit Ian |
| contents | This work begins by introducing the groundbreaking concept of log-p-analytic functions. Following this introduction, we proceed to delineate four distinct formulations of Landau-type theorems, specifically crafted for the domain of poly-analytic functions. Among these, two theorems are distinguished by their exactitude, and a third theorem offers a refinement to the existing work of Abdulhadi and Hajj. Concluding the paper, we present four specialized versions of Landau-type theorems applicable to a subset of bounded log-p-analytic functions, resulting in the derivation of two precise outcomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements Zhao, Hanghang Liu, Ming-Sheng Kou, Kit Ian Complex Variables This work begins by introducing the groundbreaking concept of log-p-analytic functions. Following this introduction, we proceed to delineate four distinct formulations of Landau-type theorems, specifically crafted for the domain of poly-analytic functions. Among these, two theorems are distinguished by their exactitude, and a third theorem offers a refinement to the existing work of Abdulhadi and Hajj. Concluding the paper, we present four specialized versions of Landau-type theorems applicable to a subset of bounded log-p-analytic functions, resulting in the derivation of two precise outcomes. |
| title | Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2409.09624 |