تقرير
On the elliptic harmonic mappings and sense-preserving harmonic mappings
| العنوان: | On the elliptic harmonic mappings and sense-preserving harmonic mappings |
|---|---|
| المؤلفون: | Liu, Ming-Sheng, XU, Hao |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Primary 30C50, 31A05, Secondary 32A18, 30C62, 33E05 |
| الوصف: | In this paper, we first establish two versions of Landau-Bloch type theorem for $(K,K')$-elliptic harmonic mappings with a bounded minimum distortion. Next, we provide several coefficient estimates and a conjecture for $(K,K')$-elliptic harmonic mappings. Then, we establish three new versions of Landau-Bloch type theorem for sense-preserving harmonic mappings. Finally, we establish two sharp versions of Landau-Bloch type theorem for certain harmonic mappings. These results are sharp in some given cases and improve the related results of different authors. Comment: 17 pages, this article is with a journal since Oct. 2023 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07666 |
| رقم الأكسشن: | edsarx.2404.07666 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |