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Uniqueness results on certain polynomials of meromorphic functions sharing a small function | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 08 تیر 1405 اصل مقاله (383.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.36923.5405 | ||
| نویسندگان | ||
| Harina P Waghamore* ؛ Naveenkumar B. N. | ||
| Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore -560 056, India | ||
| تاریخ دریافت: 29 بهمن 1403، تاریخ پذیرش: 14 فروردین 1404 | ||
| چکیده | ||
| This study explores specific polynomials that share a small function by applying the notions of weakly weighted and relaxed weighted sharing of meromorphic functions. In particular, the research delves into the uniqueness of two polynomial types related to the meromorphic function $f$: the homogeneous differential polynomial $\Phi[z]$ and the non-constant differential-difference polynomial $\Psi[z, f]$ and examines the value distribution of these polynomial functions within the context of weakly weighted and relaxed weighted sharing, resulting in the equation $\Phi[z] \equiv \Psi[z, f]$ (or) $\Phi[z]. \Psi[z, f] \equiv a^2$. The findings of this investigation enhance and extend the previous work of Harina P. Waghamore and Vijayalakshmi S. B. [27]. | ||
| کلیدواژهها | ||
| Uniqueness؛ meromorphic function؛ homogeneous differential polynomial؛ Differential-difference polynomial؛ Weakly weighted sharing؛ Relaxed weighted sharing | ||
| مراجع | ||
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