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In this paper, we study the value distribution of a meromorphic function f(z) concerning its derivative f′(z) and q-shift difference f(qz+c), where f(z) is of finite logarithmic order. We also investigate the uniqueness of differential-q-shift-difference polynomials with more general forms of entire functions of order zero.

On value distribution and uniqueness of meromorphic function with finite logarithmic order concerning its derivative and q-shift difference