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Uniqueness of meromorphic functions and nonlinear differential polynomials | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 09 آذر 1404 اصل مقاله (470.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33587.5015 | ||
| نویسندگان | ||
| Harina P Waghamore* ؛ B. E. Manjunath | ||
| Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore -560 056, India | ||
| تاریخ دریافت: 01 فروردین 1403، تاریخ بازنگری: 06 آذر 1403، تاریخ پذیرش: 13 آذر 1403 | ||
| چکیده | ||
| In this paper, we study the influence of the ``normal family" concept on the meromorphic functions $\xi_{1}(z)$ and $\xi_{2}(z)$ and the behavior of two nonlinear differential polynomials with a shared polynomial of a specific degree. Our investigation leads to uniqueness results for $\mathcal{P}(\xi_{1}(z))\mathcal{L}^{m}(\xi_{1}(z))$ and $\mathcal{P}(\xi_{2}(z))\mathcal{L}^{m}(\xi_{2}(z))$ under these circumstances. In addition, the results generalize and extend the findings of Cao and Zhang. | ||
| کلیدواژهها | ||
| Differential polynomial؛ Uniqueness؛ Meromorphic function؛ Normal family | ||
| مراجع | ||
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