Abstract
In this paper, we investigate the growth of meromorphic solutions of some kind of non-homogeneous linear difference equations with special meromorphic coefficients. When there are more than one coefficient having the same maximal order and the same maximal type, the estimates on the lower bound of the order of meromorphic solutions of the involved equations are obtained. Meanwhile, the above estimates are sharpened by combining the relative results of the corresponding homogeneous linear difference equations.
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Supported by the National Natural Science Foundation of China (No. 11761035) and the Natural Science Foundation of Jiangxi Province in China (No. 20171BAB201002).
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Zheng, XM., Zhou, YP. On growth of meromorphic solutions of some kind of non-homogeneous linear difference equations. Appl. Math. J. Chin. Univ. 34, 436–445 (2019). https://doi.org/10.1007/s11766-019-3616-2
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DOI: https://doi.org/10.1007/s11766-019-3616-2