Some results on q-shift difference-differential polynomials sharing finite value

In this paper, we study the uniqueness of meromorphic functions with q-shift difference-differential polynomials F=P(f)\prod\limits_{j=۱}^{d}f(q_{j}z+c_{j})^{v_{j}}]^{(k)} and G=[P(g)\prod\limits_{j=۱}^{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 [۱۹].

Keywords:

Nevanlinna theory , Sharing values , difference-differential polynomials , q-shift , meromorphic functions