Uniqueness of p(f) and P[f]
Complex Variables
2015-02-10 v2
Abstract
Let f be a non constant meromorphic function and a(not identically zero or infinity) be a meromorphic function satisfying T(r,a) = o(T(r,f)) as r tends to infinity, and p(z) be a polynomial of degree n greater than or equal to 1 with p(0) = 0. Let P[f] be a non constant differential polynomial of f. Under certain essential conditions, we prove the uniqueness of p(f) and P[f] when p(f) and P[f] share a with weight l greater than or equal to zero. Our result generalizes the results due to Zang and Lu, Banerjee and Majumder, Bhoosnurmath and Kabbur and answers a question of Zang and Lu.
Keywords
Cite
@article{arxiv.1501.05092,
title = {Uniqueness of p(f) and P[f]},
author = {Kuldeep Singh Charak and Banarsi Lal},
journal= {arXiv preprint arXiv:1501.05092},
year = {2015}
}
Comments
14 pages