Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-1503-85
Abstract
Let $f$ be a nonconstant meromorphic function, $a (\not\equiv 0, \infty)$ be a meromorphic function satisfying $T(r,a) = o(T(r,f))$ as $r \rightarrow \infty$, and $p(z)$ be a polynomial of degree $n \geq 1$ with $p(0) = 0$. Let $P[f]$ be a nonconstant differential polynomial of $f$. Under certain essential conditions, we prove that $p(f) \equiv P[f]$, when $p(f)$ and $P[f]$ share $a$ with weight $l \geq 0$. Our result generalizes the results due to Zhang and L$\ddot{\text{u}}$, Banerjee and Majumdar, and Bhoosnurmath and Kabbur and answers a question asked by Zhang and L$\ddot{\text{u}}$.
First Page
569
Last Page
581
Recommended Citation
CHARAK, KULDEEP SINGH and LAL, BANARSI
(2016)
"Uniqueness of $p(f)$ and $P[f]$,"
Turkish Journal of Mathematics: Vol. 40:
No.
3, Article 7.
https://doi.org/10.3906/mat-1503-85
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss3/7
