Study of Br{\'u}ck conjecture and uniqueness of rational function and differential polynomial of a meromorphic function
- Resource Type
- Article
- Authors
- Dilip Chandra Pramanik; Jayanta Roy
- Source
- 한국수학논문집, 30(2), pp.249-261 Jun, 2022
- Subject
- 수학
- Language
- English
- ISSN
- 2288-1433
1976-8605
Let $f$ be a non-constant meromorphic function in the open complex plane $\mathbb{C}$. In this paper we prove under certain essential conditions that $R(f)$ and $P[f]$, rational function and differential polynomial of $f$ respectively, share a small function of $f$ and obtain a conclusion related to $Br\ddot{u}ck$ conjecture. We give some examples in support to our result.