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Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Li-Qin Luo, Xiu-Min Zheng (2016)

Open Mathematics

In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.

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