تقرير
Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
| العنوان: | Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings |
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| المؤلفون: | Liu, Ming-Sheng, Ponnusamy, Saminathan |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, 30C99, 31A05, 31A30 (Primary), 30C62 (Secondary) |
| الوصف: | In this paper, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form $F(z)=\bar{z}G(z)+H(z)$, where $G$ and $H$ are analytic in the unit disk $|z|<1$ with $G(0)=H(0)=0$ and $H'(0)=1$. In particular, two of them are sharp while the other one either generalizes or improves the corresponding result of Abdulhadi and Hajj. As consequences, several new sharp versions of Landau-type theorems for certain subclasses of bounded biharmonic mappings are proved. Comment: 13 pages. The article is with a journal |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.07719 |
| رقم الأكسشن: | edsarx.2302.07719 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |