Weighted Set Sharing and Uniqueness of Meromorphic Functions

Authors : Dilip Pramanik

Pages : 243-251

View : 21 | Download : 15

Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :In this paper, we study the uniqueness problem of meromorphic functions sharing a set of small functions and proved that under certain essential conditions $P[f]=tpinsert ignore into journalissuearticles values(f);$ for some $t$ such that $t^m=1$ insert ignore into journalissuearticles values($m$ is a positive number);, where $P[f]$ is a differential polynomial in $f$ and $pinsert ignore into journalissuearticles values(z);$ is a polynomial in $z$ of degree at least one such that $pinsert ignore into journalissuearticles values(0);=0$. Our results generalizes the results due to Zhang and Lü}, Banerjee and Majumder, Bhoosnurmath and Kabur, and Charak and Lal.
Keywords : Meromorphic function, shared set, small function, differential polynomial