Uniqueness of a meromorphic functions with Q-shift difference-differential polynomials sharing finite value

Abstract

In this paper, we study the uniqueness of meromorphic functions with $Q-$shift difference-differential polynomials $F=[P(f)\prod\limits_{j=1}^{d}f(q_{j}z+c_{j})^{v_{j}}]^{(k)}$ and $G [P(g)\prod\limits_{j=1}^{d}g(q_{j}z+c_{j})^{v_{j}}]^{(k)}$, where $P(z)$ is a non-constant polynomial with degree $n$ sharing a finite value. The results of this paper are an extension of the previous theorems given by Harina P. Waghamore and Rajeshwari S \cite{ref1}.